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Finding the Fourth Proportional to 1,310.57, 1,966.94 and 541.61

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Solution

The fourth proportional to 1,310.57, 1,966.94 and 541.61 is: 812.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.57 : 1,966.94 = 541.61 : x
  2. Step 2: Convert to fraction form
    1,310.57/1,966.94 = 541.61/x
  3. Step 3: Cross multiply
    1,310.57x = 1,966.94 × 541.61
  4. Step 4: Simplify right side
    1,310.57x = 1,065,314.37
  5. Step 5: Solve for x
    x = 1,065,314.37/1,310.57
  6. Step 6: Final answer
    x = 812.86

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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.