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Finding the Fourth Proportional to 732.53, 1,010.88 and 433.98

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Solution

The fourth proportional to 732.53, 1,010.88 and 433.98 is: 598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.53 : 1,010.88 = 433.98 : x
  2. Step 2: Convert to fraction form
    732.53/1,010.88 = 433.98/x
  3. Step 3: Cross multiply
    732.53x = 1,010.88 × 433.98
  4. Step 4: Simplify right side
    732.53x = 438,701.70
  5. Step 5: Solve for x
    x = 438,701.70/732.53
  6. Step 6: Final answer
    x = 598.88

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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.