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Finding the Fourth Proportional to 833.76, 1,149.12 and 600.48

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Solution

The fourth proportional to 833.76, 1,149.12 and 600.48 is: 827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.76 : 1,149.12 = 600.48 : x
  2. Step 2: Convert to fraction form
    833.76/1,149.12 = 600.48/x
  3. Step 3: Cross multiply
    833.76x = 1,149.12 × 600.48
  4. Step 4: Simplify right side
    833.76x = 690,023.58
  5. Step 5: Solve for x
    x = 690,023.58/833.76
  6. Step 6: Final answer
    x = 827.60

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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.