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Finding the Fourth Proportional to 915.98, 1,374.84 and 505.58

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Solution

The fourth proportional to 915.98, 1,374.84 and 505.58 is: 758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,374.84 = 505.58 : x
  2. Step 2: Convert to fraction form
    915.98/1,374.84 = 505.58/x
  3. Step 3: Cross multiply
    915.98x = 1,374.84 × 505.58
  4. Step 4: Simplify right side
    915.98x = 695,084.73
  5. Step 5: Solve for x
    x = 695,084.73/915.98
  6. Step 6: Final answer
    x = 758.85

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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.