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Finding the Fourth Proportional to 833.73, 1,149.35 and 597.57

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Solution

The fourth proportional to 833.73, 1,149.35 and 597.57 is: 823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.73 : 1,149.35 = 597.57 : x
  2. Step 2: Convert to fraction form
    833.73/1,149.35 = 597.57/x
  3. Step 3: Cross multiply
    833.73x = 1,149.35 × 597.57
  4. Step 4: Simplify right side
    833.73x = 686,814.09
  5. Step 5: Solve for x
    x = 686,814.09/833.73
  6. Step 6: Final answer
    x = 823.78

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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.