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Finding the Fourth Proportional to 840.52, 1,258.09 and 449.55

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Solution

The fourth proportional to 840.52, 1,258.09 and 449.55 is: 672.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.52 : 1,258.09 = 449.55 : x
  2. Step 2: Convert to fraction form
    840.52/1,258.09 = 449.55/x
  3. Step 3: Cross multiply
    840.52x = 1,258.09 × 449.55
  4. Step 4: Simplify right side
    840.52x = 565,565.82
  5. Step 5: Solve for x
    x = 565,565.82/840.52
  6. Step 6: Final answer
    x = 672.87

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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.