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Finding the Fourth Proportional to 1,391.59, 1,920.70 and 867.52

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Solution

The fourth proportional to 1,391.59, 1,920.70 and 867.52 is: 1,197.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.59 : 1,920.70 = 867.52 : x
  2. Step 2: Convert to fraction form
    1,391.59/1,920.70 = 867.52/x
  3. Step 3: Cross multiply
    1,391.59x = 1,920.70 × 867.52
  4. Step 4: Simplify right side
    1,391.59x = 1,666,240.79
  5. Step 5: Solve for x
    x = 1,666,240.79/1,391.59
  6. Step 6: Final answer
    x = 1,197.37

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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.