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Finding the Fourth Proportional to 1,139.16, 1,571.24 and 1,101.05

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Solution

The fourth proportional to 1,139.16, 1,571.24 and 1,101.05 is: 1,518.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.16 : 1,571.24 = 1,101.05 : x
  2. Step 2: Convert to fraction form
    1,139.16/1,571.24 = 1,101.05/x
  3. Step 3: Cross multiply
    1,139.16x = 1,571.24 × 1,101.05
  4. Step 4: Simplify right side
    1,139.16x = 1,730,000.44
  5. Step 5: Solve for x
    x = 1,730,000.44/1,139.16
  6. Step 6: Final answer
    x = 1,518.66

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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.