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Finding the Fourth Proportional to 1,460.97, 2,190.30 and 730.17

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Solution

The fourth proportional to 1,460.97, 2,190.30 and 730.17 is: 1,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.97 : 2,190.30 = 730.17 : x
  2. Step 2: Convert to fraction form
    1,460.97/2,190.30 = 730.17/x
  3. Step 3: Cross multiply
    1,460.97x = 2,190.30 × 730.17
  4. Step 4: Simplify right side
    1,460.97x = 1,599,291.35
  5. Step 5: Solve for x
    x = 1,599,291.35/1,460.97
  6. Step 6: Final answer
    x = 1,094.68

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.