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Finding the Fourth Proportional to 677.03, 1,013.92 and 459.95

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Solution

The fourth proportional to 677.03, 1,013.92 and 459.95 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.03 : 1,013.92 = 459.95 : x
  2. Step 2: Convert to fraction form
    677.03/1,013.92 = 459.95/x
  3. Step 3: Cross multiply
    677.03x = 1,013.92 × 459.95
  4. Step 4: Simplify right side
    677.03x = 466,346.28
  5. Step 5: Solve for x
    x = 466,346.28/677.03
  6. Step 6: Final answer
    x = 688.82

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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.