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Finding the Fourth Proportional to 870.82, 1,201.68 and 497.74

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Solution

The fourth proportional to 870.82, 1,201.68 and 497.74 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.82 : 1,201.68 = 497.74 : x
  2. Step 2: Convert to fraction form
    870.82/1,201.68 = 497.74/x
  3. Step 3: Cross multiply
    870.82x = 1,201.68 × 497.74
  4. Step 4: Simplify right side
    870.82x = 598,124.20
  5. Step 5: Solve for x
    x = 598,124.20/870.82
  6. Step 6: Final answer
    x = 686.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.