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Finding the Fourth Proportional to 1,139.16, 1,571.61 and 697.17

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Solution

The fourth proportional to 1,139.16, 1,571.61 and 697.17 is: 961.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.16 : 1,571.61 = 697.17 : x
  2. Step 2: Convert to fraction form
    1,139.16/1,571.61 = 697.17/x
  3. Step 3: Cross multiply
    1,139.16x = 1,571.61 × 697.17
  4. Step 4: Simplify right side
    1,139.16x = 1,095,679.34
  5. Step 5: Solve for x
    x = 1,095,679.34/1,139.16
  6. Step 6: Final answer
    x = 961.83

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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.