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Finding the Fourth Proportional to 823.57, 1,235.76 and 438.82

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Solution

The fourth proportional to 823.57, 1,235.76 and 438.82 is: 658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,235.76 = 438.82 : x
  2. Step 2: Convert to fraction form
    823.57/1,235.76 = 438.82/x
  3. Step 3: Cross multiply
    823.57x = 1,235.76 × 438.82
  4. Step 4: Simplify right side
    823.57x = 542,276.20
  5. Step 5: Solve for x
    x = 542,276.20/823.57
  6. Step 6: Final answer
    x = 658.45

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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.