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Finding the Fourth Proportional to 833.78, 1,151.02 and 539.56

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Solution

The fourth proportional to 833.78, 1,151.02 and 539.56 is: 744.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.78 : 1,151.02 = 539.56 : x
  2. Step 2: Convert to fraction form
    833.78/1,151.02 = 539.56/x
  3. Step 3: Cross multiply
    833.78x = 1,151.02 × 539.56
  4. Step 4: Simplify right side
    833.78x = 621,044.35
  5. Step 5: Solve for x
    x = 621,044.35/833.78
  6. Step 6: Final answer
    x = 744.85

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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.