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Finding the Fourth Proportional to 1,306.08, 1,957.86 and 439.92

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Solution

The fourth proportional to 1,306.08, 1,957.86 and 439.92 is: 659.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.08 : 1,957.86 = 439.92 : x
  2. Step 2: Convert to fraction form
    1,306.08/1,957.86 = 439.92/x
  3. Step 3: Cross multiply
    1,306.08x = 1,957.86 × 439.92
  4. Step 4: Simplify right side
    1,306.08x = 861,301.77
  5. Step 5: Solve for x
    x = 861,301.77/1,306.08
  6. Step 6: Final answer
    x = 659.46

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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.