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Finding the Fourth Proportional to 937.32, 1,292.36 and 854.08

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Solution

The fourth proportional to 937.32, 1,292.36 and 854.08 is: 1,177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.32 : 1,292.36 = 854.08 : x
  2. Step 2: Convert to fraction form
    937.32/1,292.36 = 854.08/x
  3. Step 3: Cross multiply
    937.32x = 1,292.36 × 854.08
  4. Step 4: Simplify right side
    937.32x = 1,103,778.83
  5. Step 5: Solve for x
    x = 1,103,778.83/937.32
  6. Step 6: Final answer
    x = 1,177.59

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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.