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Finding the Fourth Proportional to 798.28, 1,101.66 and 466.78

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Solution

The fourth proportional to 798.28, 1,101.66 and 466.78 is: 644.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.28 : 1,101.66 = 466.78 : x
  2. Step 2: Convert to fraction form
    798.28/1,101.66 = 466.78/x
  3. Step 3: Cross multiply
    798.28x = 1,101.66 × 466.78
  4. Step 4: Simplify right side
    798.28x = 514,232.85
  5. Step 5: Solve for x
    x = 514,232.85/798.28
  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.