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Finding the Fourth Proportional to 1,271.89, 1,754.62 and 747.55

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Solution

The fourth proportional to 1,271.89, 1,754.62 and 747.55 is: 1,031.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.89 : 1,754.62 = 747.55 : x
  2. Step 2: Convert to fraction form
    1,271.89/1,754.62 = 747.55/x
  3. Step 3: Cross multiply
    1,271.89x = 1,754.62 × 747.55
  4. Step 4: Simplify right side
    1,271.89x = 1,311,666.18
  5. Step 5: Solve for x
    x = 1,311,666.18/1,271.89
  6. Step 6: Final answer
    x = 1,031.27

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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.