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Finding the Fourth Proportional to 732.87, 1,010.35 and 496.45

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Solution

The fourth proportional to 732.87, 1,010.35 and 496.45 is: 684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.87 : 1,010.35 = 496.45 : x
  2. Step 2: Convert to fraction form
    732.87/1,010.35 = 496.45/x
  3. Step 3: Cross multiply
    732.87x = 1,010.35 × 496.45
  4. Step 4: Simplify right side
    732.87x = 501,588.26
  5. Step 5: Solve for x
    x = 501,588.26/732.87
  6. Step 6: Final answer
    x = 684.42

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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.