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Finding the Fourth Proportional to 677.57, 1,014.87 and 547.26

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Solution

The fourth proportional to 677.57, 1,014.87 and 547.26 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.57 : 1,014.87 = 547.26 : x
  2. Step 2: Convert to fraction form
    677.57/1,014.87 = 547.26/x
  3. Step 3: Cross multiply
    677.57x = 1,014.87 × 547.26
  4. Step 4: Simplify right side
    677.57x = 555,397.76
  5. Step 5: Solve for x
    x = 555,397.76/677.57
  6. Step 6: Final answer
    x = 819.70

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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.