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Finding the Fourth Proportional to 975.17, 1,344.52 and 787.97

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Solution

The fourth proportional to 975.17, 1,344.52 and 787.97 is: 1,086.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.17 : 1,344.52 = 787.97 : x
  2. Step 2: Convert to fraction form
    975.17/1,344.52 = 787.97/x
  3. Step 3: Cross multiply
    975.17x = 1,344.52 × 787.97
  4. Step 4: Simplify right side
    975.17x = 1,059,441.42
  5. Step 5: Solve for x
    x = 1,059,441.42/975.17
  6. Step 6: Final answer
    x = 1,086.42

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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.