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Finding the Fourth Proportional to 840.87, 1,160.45 and 467.90

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Solution

The fourth proportional to 840.87, 1,160.45 and 467.90 is: 645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.87 : 1,160.45 = 467.90 : x
  2. Step 2: Convert to fraction form
    840.87/1,160.45 = 467.90/x
  3. Step 3: Cross multiply
    840.87x = 1,160.45 × 467.90
  4. Step 4: Simplify right side
    840.87x = 542,966.41
  5. Step 5: Solve for x
    x = 542,966.41/840.87
  6. Step 6: Final answer
    x = 645.72

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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.