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Finding the Fourth Proportional to 820.38, 1,124.50 and 808.85

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Solution

The fourth proportional to 820.38, 1,124.50 and 808.85 is: 1,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.38 : 1,124.50 = 808.85 : x
  2. Step 2: Convert to fraction form
    820.38/1,124.50 = 808.85/x
  3. Step 3: Cross multiply
    820.38x = 1,124.50 × 808.85
  4. Step 4: Simplify right side
    820.38x = 909,552.61
  5. Step 5: Solve for x
    x = 909,552.61/820.38
  6. Step 6: Final answer
    x = 1,108.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.