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Finding the Fourth Proportional to 839.28, 1,159.12 and 574.96

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Solution

The fourth proportional to 839.28, 1,159.12 and 574.96 is: 794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.28 : 1,159.12 = 574.96 : x
  2. Step 2: Convert to fraction form
    839.28/1,159.12 = 574.96/x
  3. Step 3: Cross multiply
    839.28x = 1,159.12 × 574.96
  4. Step 4: Simplify right side
    839.28x = 666,447.64
  5. Step 5: Solve for x
    x = 666,447.64/839.28
  6. Step 6: Final answer
    x = 794.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.