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Finding the Fourth Proportional to 736.38, 1,016.00 and 474.55

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Solution

The fourth proportional to 736.38, 1,016.00 and 474.55 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.38 : 1,016.00 = 474.55 : x
  2. Step 2: Convert to fraction form
    736.38/1,016.00 = 474.55/x
  3. Step 3: Cross multiply
    736.38x = 1,016.00 × 474.55
  4. Step 4: Simplify right side
    736.38x = 482,137.89
  5. Step 5: Solve for x
    x = 482,137.89/736.38
  6. Step 6: Final answer
    x = 654.74

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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.