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Finding the Fourth Proportional to 1,271.70, 1,753.65 and 1,131.57

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Solution

The fourth proportional to 1,271.70, 1,753.65 and 1,131.57 is: 1,560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.70 : 1,753.65 = 1,131.57 : x
  2. Step 2: Convert to fraction form
    1,271.70/1,753.65 = 1,131.57/x
  3. Step 3: Cross multiply
    1,271.70x = 1,753.65 × 1,131.57
  4. Step 4: Simplify right side
    1,271.70x = 1,984,377.73
  5. Step 5: Solve for x
    x = 1,984,377.73/1,271.70
  6. Step 6: Final answer
    x = 1,560.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.