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Finding the Fourth Proportional to 1,387.60, 1,915.20 and 915.58

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Solution

The fourth proportional to 1,387.60, 1,915.20 and 915.58 is: 1,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.60 : 1,915.20 = 915.58 : x
  2. Step 2: Convert to fraction form
    1,387.60/1,915.20 = 915.58/x
  3. Step 3: Cross multiply
    1,387.60x = 1,915.20 × 915.58
  4. Step 4: Simplify right side
    1,387.60x = 1,753,509.24
  5. Step 5: Solve for x
    x = 1,753,509.24/1,387.60
  6. Step 6: Final answer
    x = 1,263.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.