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Finding the Fourth Proportional to 915.57, 1,380.53 and 839.02

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Solution

The fourth proportional to 915.57, 1,380.53 and 839.02 is: 1,265.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.57 : 1,380.53 = 839.02 : x
  2. Step 2: Convert to fraction form
    915.57/1,380.53 = 839.02/x
  3. Step 3: Cross multiply
    915.57x = 1,380.53 × 839.02
  4. Step 4: Simplify right side
    915.57x = 1,158,296.10
  5. Step 5: Solve for x
    x = 1,158,296.10/915.57
  6. Step 6: Final answer
    x = 1,265.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.