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Finding the Fourth Proportional to 736.11, 1,016.19 and 474.57

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Solution

The fourth proportional to 736.11, 1,016.19 and 474.57 is: 655.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.11 : 1,016.19 = 474.57 : x
  2. Step 2: Convert to fraction form
    736.11/1,016.19 = 474.57/x
  3. Step 3: Cross multiply
    736.11x = 1,016.19 × 474.57
  4. Step 4: Simplify right side
    736.11x = 482,253.29
  5. Step 5: Solve for x
    x = 482,253.29/736.11
  6. Step 6: Final answer
    x = 655.14

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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.