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Finding the Fourth Proportional to 1,306.20, 1,959.57 and 440.58

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Solution

The fourth proportional to 1,306.20, 1,959.57 and 440.58 is: 660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.20 : 1,959.57 = 440.58 : x
  2. Step 2: Convert to fraction form
    1,306.20/1,959.57 = 440.58/x
  3. Step 3: Cross multiply
    1,306.20x = 1,959.57 × 440.58
  4. Step 4: Simplify right side
    1,306.20x = 863,347.35
  5. Step 5: Solve for x
    x = 863,347.35/1,306.20
  6. Step 6: Final answer
    x = 660.96

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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.