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Finding the Fourth Proportional to 1,306.26, 1,800.63 and 932.58

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Solution

The fourth proportional to 1,306.26, 1,800.63 and 932.58 is: 1,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.26 : 1,800.63 = 932.58 : x
  2. Step 2: Convert to fraction form
    1,306.26/1,800.63 = 932.58/x
  3. Step 3: Cross multiply
    1,306.26x = 1,800.63 × 932.58
  4. Step 4: Simplify right side
    1,306.26x = 1,679,231.53
  5. Step 5: Solve for x
    x = 1,679,231.53/1,306.26
  6. Step 6: Final answer
    x = 1,285.53

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