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Finding the Fourth Proportional to 1,252.52, 1,727.35 and 854

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Solution

The fourth proportional to 1,252.52, 1,727.35 and 854 is: 1,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.52 : 1,727.35 = 854 : x
  2. Step 2: Convert to fraction form
    1,252.52/1,727.35 = 854/x
  3. Step 3: Cross multiply
    1,252.52x = 1,727.35 × 854
  4. Step 4: Simplify right side
    1,252.52x = 1,475,156.90
  5. Step 5: Solve for x
    x = 1,475,156.90/1,252.52
  6. Step 6: Final answer
    x = 1,177.75

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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.