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Finding the Fourth Proportional to 798.66, 1,101.33 and 601.83

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Solution

The fourth proportional to 798.66, 1,101.33 and 601.83 is: 829.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.66 : 1,101.33 = 601.83 : x
  2. Step 2: Convert to fraction form
    798.66/1,101.33 = 601.83/x
  3. Step 3: Cross multiply
    798.66x = 1,101.33 × 601.83
  4. Step 4: Simplify right side
    798.66x = 662,813.43
  5. Step 5: Solve for x
    x = 662,813.43/798.66
  6. Step 6: Final answer
    x = 829.91

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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.