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Finding the Fourth Proportional to 1,391.19, 2,086.89 and 569.66

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Solution

The fourth proportional to 1,391.19, 2,086.89 and 569.66 is: 854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.19 : 2,086.89 = 569.66 : x
  2. Step 2: Convert to fraction form
    1,391.19/2,086.89 = 569.66/x
  3. Step 3: Cross multiply
    1,391.19x = 2,086.89 × 569.66
  4. Step 4: Simplify right side
    1,391.19x = 1,188,807.32
  5. Step 5: Solve for x
    x = 1,188,807.32/1,391.19
  6. Step 6: Final answer
    x = 854.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.