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Finding the Fourth Proportional to 833.10, 1,149.42 and 537.84

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Solution

The fourth proportional to 833.10, 1,149.42 and 537.84 is: 742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.10 : 1,149.42 = 537.84 : x
  2. Step 2: Convert to fraction form
    833.10/1,149.42 = 537.84/x
  3. Step 3: Cross multiply
    833.10x = 1,149.42 × 537.84
  4. Step 4: Simplify right side
    833.10x = 618,204.05
  5. Step 5: Solve for x
    x = 618,204.05/833.10
  6. Step 6: Final answer
    x = 742.05

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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.