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Finding the Fourth Proportional to 1,140.49, 1,710.74 and 360.49

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Solution

The fourth proportional to 1,140.49, 1,710.74 and 360.49 is: 540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.49 : 1,710.74 = 360.49 : x
  2. Step 2: Convert to fraction form
    1,140.49/1,710.74 = 360.49/x
  3. Step 3: Cross multiply
    1,140.49x = 1,710.74 × 360.49
  4. Step 4: Simplify right side
    1,140.49x = 616,704.66
  5. Step 5: Solve for x
    x = 616,704.66/1,140.49
  6. Step 6: Final answer
    x = 540.74

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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.