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Finding the Fourth Proportional to 870.38, 1,201.39 and 559.88

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Solution

The fourth proportional to 870.38, 1,201.39 and 559.88 is: 772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.38 : 1,201.39 = 559.88 : x
  2. Step 2: Convert to fraction form
    870.38/1,201.39 = 559.88/x
  3. Step 3: Cross multiply
    870.38x = 1,201.39 × 559.88
  4. Step 4: Simplify right side
    870.38x = 672,626.83
  5. Step 5: Solve for x
    x = 672,626.83/870.38
  6. Step 6: Final answer
    x = 772.80

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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.