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Finding the Fourth Proportional to 798.38, 1,101.71 and 466.82

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Solution

The fourth proportional to 798.38, 1,101.71 and 466.82 is: 644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.38 : 1,101.71 = 466.82 : x
  2. Step 2: Convert to fraction form
    798.38/1,101.71 = 466.82/x
  3. Step 3: Cross multiply
    798.38x = 1,101.71 × 466.82
  4. Step 4: Simplify right side
    798.38x = 514,297.93
  5. Step 5: Solve for x
    x = 514,297.93/798.38
  6. Step 6: Final answer
    x = 644.18

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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.