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Finding the Fourth Proportional to 823.04, 1,232.04 and 591.92

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Solution

The fourth proportional to 823.04, 1,232.04 and 591.92 is: 886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.04 : 1,232.04 = 591.92 : x
  2. Step 2: Convert to fraction form
    823.04/1,232.04 = 591.92/x
  3. Step 3: Cross multiply
    823.04x = 1,232.04 × 591.92
  4. Step 4: Simplify right side
    823.04x = 729,269.12
  5. Step 5: Solve for x
    x = 729,269.12/823.04
  6. Step 6: Final answer
    x = 886.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.