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Finding the Fourth Proportional to 1,282.97, 1,924.88 and 542.75

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Solution

The fourth proportional to 1,282.97, 1,924.88 and 542.75 is: 814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.97 : 1,924.88 = 542.75 : x
  2. Step 2: Convert to fraction form
    1,282.97/1,924.88 = 542.75/x
  3. Step 3: Cross multiply
    1,282.97x = 1,924.88 × 542.75
  4. Step 4: Simplify right side
    1,282.97x = 1,044,725.91
  5. Step 5: Solve for x
    x = 1,044,725.91/1,282.97
  6. Step 6: Final answer
    x = 814.31

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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.