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Finding the Fourth Proportional to 707.41, 1,059.28 and 488.71

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Solution

The fourth proportional to 707.41, 1,059.28 and 488.71 is: 731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.41 : 1,059.28 = 488.71 : x
  2. Step 2: Convert to fraction form
    707.41/1,059.28 = 488.71/x
  3. Step 3: Cross multiply
    707.41x = 1,059.28 × 488.71
  4. Step 4: Simplify right side
    707.41x = 517,680.73
  5. Step 5: Solve for x
    x = 517,680.73/707.41
  6. Step 6: Final answer
    x = 731.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.