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Finding the Fourth Proportional to 915.98, 1,374.42 and 569.23

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Solution

The fourth proportional to 915.98, 1,374.42 and 569.23 is: 854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,374.42 = 569.23 : x
  2. Step 2: Convert to fraction form
    915.98/1,374.42 = 569.23/x
  3. Step 3: Cross multiply
    915.98x = 1,374.42 × 569.23
  4. Step 4: Simplify right side
    915.98x = 782,361.10
  5. Step 5: Solve for x
    x = 782,361.10/915.98
  6. Step 6: Final answer
    x = 854.12

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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.