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Finding the Fourth Proportional to 747.98, 1,123.25 and 715.58

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Solution

The fourth proportional to 747.98, 1,123.25 and 715.58 is: 1,074.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.98 : 1,123.25 = 715.58 : x
  2. Step 2: Convert to fraction form
    747.98/1,123.25 = 715.58/x
  3. Step 3: Cross multiply
    747.98x = 1,123.25 × 715.58
  4. Step 4: Simplify right side
    747.98x = 803,766.04
  5. Step 5: Solve for x
    x = 803,766.04/747.98
  6. Step 6: Final answer
    x = 1,074.59

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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.