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Finding the Fourth Proportional to 840.82, 1,160.31 and 467.78

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Solution

The fourth proportional to 840.82, 1,160.31 and 467.78 is: 645.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.82 : 1,160.31 = 467.78 : x
  2. Step 2: Convert to fraction form
    840.82/1,160.31 = 467.78/x
  3. Step 3: Cross multiply
    840.82x = 1,160.31 × 467.78
  4. Step 4: Simplify right side
    840.82x = 542,769.81
  5. Step 5: Solve for x
    x = 542,769.81/840.82
  6. Step 6: Final answer
    x = 645.52

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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.