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Finding the Fourth Proportional to 839.36, 1,155.48 and 691.76

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Solution

The fourth proportional to 839.36, 1,155.48 and 691.76 is: 952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.36 : 1,155.48 = 691.76 : x
  2. Step 2: Convert to fraction form
    839.36/1,155.48 = 691.76/x
  3. Step 3: Cross multiply
    839.36x = 1,155.48 × 691.76
  4. Step 4: Simplify right side
    839.36x = 799,314.84
  5. Step 5: Solve for x
    x = 799,314.84/839.36
  6. Step 6: Final answer
    x = 952.29

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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.