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Finding the Fourth Proportional to 736.42, 1,016.32 and 500.89

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Solution

The fourth proportional to 736.42, 1,016.32 and 500.89 is: 691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.42 : 1,016.32 = 500.89 : x
  2. Step 2: Convert to fraction form
    736.42/1,016.32 = 500.89/x
  3. Step 3: Cross multiply
    736.42x = 1,016.32 × 500.89
  4. Step 4: Simplify right side
    736.42x = 509,060.73
  5. Step 5: Solve for x
    x = 509,060.73/736.42
  6. Step 6: Final answer
    x = 691.27

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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.