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Finding the Fourth Proportional to 734.52, 1,102.59 and 715.89

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Solution

The fourth proportional to 734.52, 1,102.59 and 715.89 is: 1,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.52 : 1,102.59 = 715.89 : x
  2. Step 2: Convert to fraction form
    734.52/1,102.59 = 715.89/x
  3. Step 3: Cross multiply
    734.52x = 1,102.59 × 715.89
  4. Step 4: Simplify right side
    734.52x = 789,333.16
  5. Step 5: Solve for x
    x = 789,333.16/734.52
  6. Step 6: Final answer
    x = 1,074.62

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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.