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Finding the Fourth Proportional to 833.64, 1,149.90 and 523.32

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Solution

The fourth proportional to 833.64, 1,149.90 and 523.32 is: 721.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.64 : 1,149.90 = 523.32 : x
  2. Step 2: Convert to fraction form
    833.64/1,149.90 = 523.32/x
  3. Step 3: Cross multiply
    833.64x = 1,149.90 × 523.32
  4. Step 4: Simplify right side
    833.64x = 601,765.67
  5. Step 5: Solve for x
    x = 601,765.67/833.64
  6. Step 6: Final answer
    x = 721.85

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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.