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Finding the Fourth Proportional to 947.04, 1,420.56 and 330.75

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Solution

The fourth proportional to 947.04, 1,420.56 and 330.75 is: 496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.04 : 1,420.56 = 330.75 : x
  2. Step 2: Convert to fraction form
    947.04/1,420.56 = 330.75/x
  3. Step 3: Cross multiply
    947.04x = 1,420.56 × 330.75
  4. Step 4: Simplify right side
    947.04x = 469,850.22
  5. Step 5: Solve for x
    x = 469,850.22/947.04
  6. Step 6: Final answer
    x = 496.13

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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.