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Finding the Fourth Proportional to 1,387.84, 1,914.76 and 915.97

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Solution

The fourth proportional to 1,387.84, 1,914.76 and 915.97 is: 1,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.84 : 1,914.76 = 915.97 : x
  2. Step 2: Convert to fraction form
    1,387.84/1,914.76 = 915.97/x
  3. Step 3: Cross multiply
    1,387.84x = 1,914.76 × 915.97
  4. Step 4: Simplify right side
    1,387.84x = 1,753,862.72
  5. Step 5: Solve for x
    x = 1,753,862.72/1,387.84
  6. Step 6: Final answer
    x = 1,263.74

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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.