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Finding the Fourth Proportional to 1,449.88, 2,175.14 and 462.76

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Solution

The fourth proportional to 1,449.88, 2,175.14 and 462.76 is: 694.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.88 : 2,175.14 = 462.76 : x
  2. Step 2: Convert to fraction form
    1,449.88/2,175.14 = 462.76/x
  3. Step 3: Cross multiply
    1,449.88x = 2,175.14 × 462.76
  4. Step 4: Simplify right side
    1,449.88x = 1,006,567.79
  5. Step 5: Solve for x
    x = 1,006,567.79/1,449.88
  6. Step 6: Final answer
    x = 694.24

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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.