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Finding the Fourth Proportional to 820.18, 1,132.14 and 722.98

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Solution

The fourth proportional to 820.18, 1,132.14 and 722.98 is: 997.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.18 : 1,132.14 = 722.98 : x
  2. Step 2: Convert to fraction form
    820.18/1,132.14 = 722.98/x
  3. Step 3: Cross multiply
    820.18x = 1,132.14 × 722.98
  4. Step 4: Simplify right side
    820.18x = 818,514.58
  5. Step 5: Solve for x
    x = 818,514.58/820.18
  6. Step 6: Final answer
    x = 997.97

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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.