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Finding the Fourth Proportional to 870.83, 1,306.22 and 254.55

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Solution

The fourth proportional to 870.83, 1,306.22 and 254.55 is: 381.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.83 : 1,306.22 = 254.55 : x
  2. Step 2: Convert to fraction form
    870.83/1,306.22 = 254.55/x
  3. Step 3: Cross multiply
    870.83x = 1,306.22 × 254.55
  4. Step 4: Simplify right side
    870.83x = 332,498.30
  5. Step 5: Solve for x
    x = 332,498.30/870.83
  6. Step 6: Final answer
    x = 381.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.