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Finding the Fourth Proportional to 870.58, 1,201.39 and 497.71

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Solution

The fourth proportional to 870.58, 1,201.39 and 497.71 is: 686.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.58 : 1,201.39 = 497.71 : x
  2. Step 2: Convert to fraction form
    870.58/1,201.39 = 497.71/x
  3. Step 3: Cross multiply
    870.58x = 1,201.39 × 497.71
  4. Step 4: Simplify right side
    870.58x = 597,943.82
  5. Step 5: Solve for x
    x = 597,943.82/870.58
  6. Step 6: Final answer
    x = 686.83

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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.