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Finding the Fourth Proportional to 915.23, 1,372.85 and 709.19

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Solution

The fourth proportional to 915.23, 1,372.85 and 709.19 is: 1,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.23 : 1,372.85 = 709.19 : x
  2. Step 2: Convert to fraction form
    915.23/1,372.85 = 709.19/x
  3. Step 3: Cross multiply
    915.23x = 1,372.85 × 709.19
  4. Step 4: Simplify right side
    915.23x = 973,608.89
  5. Step 5: Solve for x
    x = 973,608.89/915.23
  6. Step 6: Final answer
    x = 1,063.78

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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.