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Finding the Fourth Proportional to 732.84, 1,010.88 and 484.16

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Solution

The fourth proportional to 732.84, 1,010.88 and 484.16 is: 667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.84 : 1,010.88 = 484.16 : x
  2. Step 2: Convert to fraction form
    732.84/1,010.88 = 484.16/x
  3. Step 3: Cross multiply
    732.84x = 1,010.88 × 484.16
  4. Step 4: Simplify right side
    732.84x = 489,427.66
  5. Step 5: Solve for x
    x = 489,427.66/732.84
  6. Step 6: Final answer
    x = 667.85

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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.