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Finding the Fourth Proportional to 1,691.28, 2,537.06 and 458.80

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Solution

The fourth proportional to 1,691.28, 2,537.06 and 458.80 is: 688.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691.28 : 2,537.06 = 458.80 : x
  2. Step 2: Convert to fraction form
    1,691.28/2,537.06 = 458.80/x
  3. Step 3: Cross multiply
    1,691.28x = 2,537.06 × 458.80
  4. Step 4: Simplify right side
    1,691.28x = 1,163,994.49
  5. Step 5: Solve for x
    x = 1,163,994.49/1,691.28
  6. Step 6: Final answer
    x = 688.23

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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.