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Finding the Fourth Proportional to 798.62, 1,102.01 and 466.97

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Solution

The fourth proportional to 798.62, 1,102.01 and 466.97 is: 644.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.62 : 1,102.01 = 466.97 : x
  2. Step 2: Convert to fraction form
    798.62/1,102.01 = 466.97/x
  3. Step 3: Cross multiply
    798.62x = 1,102.01 × 466.97
  4. Step 4: Simplify right side
    798.62x = 514,597.76
  5. Step 5: Solve for x
    x = 514,597.76/798.62
  6. Step 6: Final answer
    x = 644.36

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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.