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Finding the Fourth Proportional to 842.08, 1,160.84 and 547.24

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Solution

The fourth proportional to 842.08, 1,160.84 and 547.24 is: 754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.08 : 1,160.84 = 547.24 : x
  2. Step 2: Convert to fraction form
    842.08/1,160.84 = 547.24/x
  3. Step 3: Cross multiply
    842.08x = 1,160.84 × 547.24
  4. Step 4: Simplify right side
    842.08x = 635,258.08
  5. Step 5: Solve for x
    x = 635,258.08/842.08
  6. Step 6: Final answer
    x = 754.39

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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.