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Finding the Fourth Proportional to 915.27, 1,371.07 and 567.78

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Solution

The fourth proportional to 915.27, 1,371.07 and 567.78 is: 850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.27 : 1,371.07 = 567.78 : x
  2. Step 2: Convert to fraction form
    915.27/1,371.07 = 567.78/x
  3. Step 3: Cross multiply
    915.27x = 1,371.07 × 567.78
  4. Step 4: Simplify right side
    915.27x = 778,466.12
  5. Step 5: Solve for x
    x = 778,466.12/915.27
  6. Step 6: Final answer
    x = 850.53

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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.