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Finding the Fourth Proportional to 915.34, 1,374.09 and 878.20

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Solution

The fourth proportional to 915.34, 1,374.09 and 878.20 is: 1,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.34 : 1,374.09 = 878.20 : x
  2. Step 2: Convert to fraction form
    915.34/1,374.09 = 878.20/x
  3. Step 3: Cross multiply
    915.34x = 1,374.09 × 878.20
  4. Step 4: Simplify right side
    915.34x = 1,206,725.84
  5. Step 5: Solve for x
    x = 1,206,725.84/915.34
  6. Step 6: Final answer
    x = 1,318.34

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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.