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Finding the Fourth Proportional to 833.22, 1,148.85 and 759.24

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Solution

The fourth proportional to 833.22, 1,148.85 and 759.24 is: 1,046.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,148.85 = 759.24 : x
  2. Step 2: Convert to fraction form
    833.22/1,148.85 = 759.24/x
  3. Step 3: Cross multiply
    833.22x = 1,148.85 × 759.24
  4. Step 4: Simplify right side
    833.22x = 872,252.87
  5. Step 5: Solve for x
    x = 872,252.87/833.22
  6. Step 6: Final answer
    x = 1,046.85

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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.