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Finding the Fourth Proportional to 833.22, 1,149.51 and 501.48

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Solution

The fourth proportional to 833.22, 1,149.51 and 501.48 is: 691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.22 : 1,149.51 = 501.48 : x
  2. Step 2: Convert to fraction form
    833.22/1,149.51 = 501.48/x
  3. Step 3: Cross multiply
    833.22x = 1,149.51 × 501.48
  4. Step 4: Simplify right side
    833.22x = 576,456.27
  5. Step 5: Solve for x
    x = 576,456.27/833.22
  6. Step 6: Final answer
    x = 691.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.