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Finding the Fourth Proportional to 732.07, 1,010.87 and 522.89

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Solution

The fourth proportional to 732.07, 1,010.87 and 522.89 is: 722.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.07 : 1,010.87 = 522.89 : x
  2. Step 2: Convert to fraction form
    732.07/1,010.87 = 522.89/x
  3. Step 3: Cross multiply
    732.07x = 1,010.87 × 522.89
  4. Step 4: Simplify right side
    732.07x = 528,568.11
  5. Step 5: Solve for x
    x = 528,568.11/732.07
  6. Step 6: Final answer
    x = 722.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.