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Finding the Fourth Proportional to 1,306.74, 1,960.22 and 566.40

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Solution

The fourth proportional to 1,306.74, 1,960.22 and 566.40 is: 849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.74 : 1,960.22 = 566.40 : x
  2. Step 2: Convert to fraction form
    1,306.74/1,960.22 = 566.40/x
  3. Step 3: Cross multiply
    1,306.74x = 1,960.22 × 566.40
  4. Step 4: Simplify right side
    1,306.74x = 1,110,268.61
  5. Step 5: Solve for x
    x = 1,110,268.61/1,306.74
  6. Step 6: Final answer
    x = 849.65

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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.