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Finding the Fourth Proportional to 820.30, 1,132.04 and 466.23

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Solution

The fourth proportional to 820.30, 1,132.04 and 466.23 is: 643.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.30 : 1,132.04 = 466.23 : x
  2. Step 2: Convert to fraction form
    820.30/1,132.04 = 466.23/x
  3. Step 3: Cross multiply
    820.30x = 1,132.04 × 466.23
  4. Step 4: Simplify right side
    820.30x = 527,788.68
  5. Step 5: Solve for x
    x = 527,788.68/820.30
  6. Step 6: Final answer
    x = 643.41

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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.