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Finding the Fourth Proportional to 1,139.67, 1,577.07 and 1,041.26

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Solution

The fourth proportional to 1,139.67, 1,577.07 and 1,041.26 is: 1,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.67 : 1,577.07 = 1,041.26 : x
  2. Step 2: Convert to fraction form
    1,139.67/1,577.07 = 1,041.26/x
  3. Step 3: Cross multiply
    1,139.67x = 1,577.07 × 1,041.26
  4. Step 4: Simplify right side
    1,139.67x = 1,642,132.02
  5. Step 5: Solve for x
    x = 1,642,132.02/1,139.67
  6. Step 6: Final answer
    x = 1,440.88

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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.