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Finding the Fourth Proportional to 736.30, 1,016.02 and 474.12

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Solution

The fourth proportional to 736.30, 1,016.02 and 474.12 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.30 : 1,016.02 = 474.12 : x
  2. Step 2: Convert to fraction form
    736.30/1,016.02 = 474.12/x
  3. Step 3: Cross multiply
    736.30x = 1,016.02 × 474.12
  4. Step 4: Simplify right side
    736.30x = 481,715.40
  5. Step 5: Solve for x
    x = 481,715.40/736.30
  6. Step 6: Final answer
    x = 654.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.