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Finding the Fourth Proportional to 732.65, 1,010.54 and 499.37

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Solution

The fourth proportional to 732.65, 1,010.54 and 499.37 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.65 : 1,010.54 = 499.37 : x
  2. Step 2: Convert to fraction form
    732.65/1,010.54 = 499.37/x
  3. Step 3: Cross multiply
    732.65x = 1,010.54 × 499.37
  4. Step 4: Simplify right side
    732.65x = 504,629.56
  5. Step 5: Solve for x
    x = 504,629.56/732.65
  6. Step 6: Final answer
    x = 688.78

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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.