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Finding the Fourth Proportional to 839.32, 1,158.90 and 577.96

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Solution

The fourth proportional to 839.32, 1,158.90 and 577.96 is: 798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.32 : 1,158.90 = 577.96 : x
  2. Step 2: Convert to fraction form
    839.32/1,158.90 = 577.96/x
  3. Step 3: Cross multiply
    839.32x = 1,158.90 × 577.96
  4. Step 4: Simplify right side
    839.32x = 669,797.84
  5. Step 5: Solve for x
    x = 669,797.84/839.32
  6. Step 6: Final answer
    x = 798.02

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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.