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Finding the Fourth Proportional to 1,271.82, 1,754.78 and 740.52

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Solution

The fourth proportional to 1,271.82, 1,754.78 and 740.52 is: 1,021.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.82 : 1,754.78 = 740.52 : x
  2. Step 2: Convert to fraction form
    1,271.82/1,754.78 = 740.52/x
  3. Step 3: Cross multiply
    1,271.82x = 1,754.78 × 740.52
  4. Step 4: Simplify right side
    1,271.82x = 1,299,449.69
  5. Step 5: Solve for x
    x = 1,299,449.69/1,271.82
  6. Step 6: Final answer
    x = 1,021.72

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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.