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Finding the Fourth Proportional to 839.81, 1,159.48 and 541.19

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Solution

The fourth proportional to 839.81, 1,159.48 and 541.19 is: 747.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.81 : 1,159.48 = 541.19 : x
  2. Step 2: Convert to fraction form
    839.81/1,159.48 = 541.19/x
  3. Step 3: Cross multiply
    839.81x = 1,159.48 × 541.19
  4. Step 4: Simplify right side
    839.81x = 627,498.98
  5. Step 5: Solve for x
    x = 627,498.98/839.81
  6. Step 6: Final answer
    x = 747.19

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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.