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Finding the Fourth Proportional to 1,306.77, 1,960.72 and 868.18

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Solution

The fourth proportional to 1,306.77, 1,960.72 and 868.18 is: 1,302.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.77 : 1,960.72 = 868.18 : x
  2. Step 2: Convert to fraction form
    1,306.77/1,960.72 = 868.18/x
  3. Step 3: Cross multiply
    1,306.77x = 1,960.72 × 868.18
  4. Step 4: Simplify right side
    1,306.77x = 1,702,257.89
  5. Step 5: Solve for x
    x = 1,702,257.89/1,306.77
  6. Step 6: Final answer
    x = 1,302.65

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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.