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Finding the Fourth Proportional to 1,306.92, 1,961.15 and 485.76

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Solution

The fourth proportional to 1,306.92, 1,961.15 and 485.76 is: 728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.92 : 1,961.15 = 485.76 : x
  2. Step 2: Convert to fraction form
    1,306.92/1,961.15 = 485.76/x
  3. Step 3: Cross multiply
    1,306.92x = 1,961.15 × 485.76
  4. Step 4: Simplify right side
    1,306.92x = 952,648.22
  5. Step 5: Solve for x
    x = 952,648.22/1,306.92
  6. Step 6: Final answer
    x = 728.93

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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.