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Finding the Fourth Proportional to 1,074.68, 1,610.88 and 457.88

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Solution

The fourth proportional to 1,074.68, 1,610.88 and 457.88 is: 686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.68 : 1,610.88 = 457.88 : x
  2. Step 2: Convert to fraction form
    1,074.68/1,610.88 = 457.88/x
  3. Step 3: Cross multiply
    1,074.68x = 1,610.88 × 457.88
  4. Step 4: Simplify right side
    1,074.68x = 737,589.73
  5. Step 5: Solve for x
    x = 737,589.73/1,074.68
  6. Step 6: Final answer
    x = 686.33

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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.