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Finding the Fourth Proportional to 1,306.87, 1,960.40 and 566.53

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Solution

The fourth proportional to 1,306.87, 1,960.40 and 566.53 is: 849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.87 : 1,960.40 = 566.53 : x
  2. Step 2: Convert to fraction form
    1,306.87/1,960.40 = 566.53/x
  3. Step 3: Cross multiply
    1,306.87x = 1,960.40 × 566.53
  4. Step 4: Simplify right side
    1,306.87x = 1,110,621.93
  5. Step 5: Solve for x
    x = 1,110,621.93/1,306.87
  6. Step 6: Final answer
    x = 849.84

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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.