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Finding the Fourth Proportional to 802.22, 1,202.82 and 527.48

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Solution

The fourth proportional to 802.22, 1,202.82 and 527.48 is: 790.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.22 : 1,202.82 = 527.48 : x
  2. Step 2: Convert to fraction form
    802.22/1,202.82 = 527.48/x
  3. Step 3: Cross multiply
    802.22x = 1,202.82 × 527.48
  4. Step 4: Simplify right side
    802.22x = 634,460.86
  5. Step 5: Solve for x
    x = 634,460.86/802.22
  6. Step 6: Final answer
    x = 790.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.