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Finding the Fourth Proportional to 798.10, 1,101.38 and 466.46

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Solution

The fourth proportional to 798.10, 1,101.38 and 466.46 is: 643.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.10 : 1,101.38 = 466.46 : x
  2. Step 2: Convert to fraction form
    798.10/1,101.38 = 466.46/x
  3. Step 3: Cross multiply
    798.10x = 1,101.38 × 466.46
  4. Step 4: Simplify right side
    798.10x = 513,747.38
  5. Step 5: Solve for x
    x = 513,747.38/798.10
  6. Step 6: Final answer
    x = 643.71

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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.