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Finding the Fourth Proportional to 854.61, 1,281.39 and 392.53

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Solution

The fourth proportional to 854.61, 1,281.39 and 392.53 is: 588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.61 : 1,281.39 = 392.53 : x
  2. Step 2: Convert to fraction form
    854.61/1,281.39 = 392.53/x
  3. Step 3: Cross multiply
    854.61x = 1,281.39 × 392.53
  4. Step 4: Simplify right side
    854.61x = 502,985.62
  5. Step 5: Solve for x
    x = 502,985.62/854.61
  6. Step 6: Final answer
    x = 588.56

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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.