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Finding the Fourth Proportional to 927.06, 1,387.95 and 707.43

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Solution

The fourth proportional to 927.06, 1,387.95 and 707.43 is: 1,059.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,387.95 = 707.43 : x
  2. Step 2: Convert to fraction form
    927.06/1,387.95 = 707.43/x
  3. Step 3: Cross multiply
    927.06x = 1,387.95 × 707.43
  4. Step 4: Simplify right side
    927.06x = 981,877.47
  5. Step 5: Solve for x
    x = 981,877.47/927.06
  6. Step 6: Final answer
    x = 1,059.13

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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.