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Finding the Fourth Proportional to 915.14, 1,372.44 and 709.94

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Solution

The fourth proportional to 915.14, 1,372.44 and 709.94 is: 1,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.14 : 1,372.44 = 709.94 : x
  2. Step 2: Convert to fraction form
    915.14/1,372.44 = 709.94/x
  3. Step 3: Cross multiply
    915.14x = 1,372.44 × 709.94
  4. Step 4: Simplify right side
    915.14x = 974,350.05
  5. Step 5: Solve for x
    x = 974,350.05/915.14
  6. Step 6: Final answer
    x = 1,064.70

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Why These Related Problems?

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