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Finding the Fourth Proportional to 915.73, 1,372.29 and 709.35

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Solution

The fourth proportional to 915.73, 1,372.29 and 709.35 is: 1,063.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.73 : 1,372.29 = 709.35 : x
  2. Step 2: Convert to fraction form
    915.73/1,372.29 = 709.35/x
  3. Step 3: Cross multiply
    915.73x = 1,372.29 × 709.35
  4. Step 4: Simplify right side
    915.73x = 973,433.91
  5. Step 5: Solve for x
    x = 973,433.91/915.73
  6. Step 6: Final answer
    x = 1,063.01

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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.