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Finding the Fourth Proportional to 915.81, 1,372.55 and 427.78

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Solution

The fourth proportional to 915.81, 1,372.55 and 427.78 is: 641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.81 : 1,372.55 = 427.78 : x
  2. Step 2: Convert to fraction form
    915.81/1,372.55 = 427.78/x
  3. Step 3: Cross multiply
    915.81x = 1,372.55 × 427.78
  4. Step 4: Simplify right side
    915.81x = 587,149.02
  5. Step 5: Solve for x
    x = 587,149.02/915.81
  6. Step 6: Final answer
    x = 641.13

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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.