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Finding the Fourth Proportional to 1,034.88, 1,552.52 and 457.76

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Solution

The fourth proportional to 1,034.88, 1,552.52 and 457.76 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.88 : 1,552.52 = 457.76 : x
  2. Step 2: Convert to fraction form
    1,034.88/1,552.52 = 457.76/x
  3. Step 3: Cross multiply
    1,034.88x = 1,552.52 × 457.76
  4. Step 4: Simplify right side
    1,034.88x = 710,681.56
  5. Step 5: Solve for x
    x = 710,681.56/1,034.88
  6. Step 6: Final answer
    x = 686.73

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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.