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Finding the Fourth Proportional to 820.23, 1,131.28 and 525.53

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Solution

The fourth proportional to 820.23, 1,131.28 and 525.53 is: 724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.23 : 1,131.28 = 525.53 : x
  2. Step 2: Convert to fraction form
    820.23/1,131.28 = 525.53/x
  3. Step 3: Cross multiply
    820.23x = 1,131.28 × 525.53
  4. Step 4: Simplify right side
    820.23x = 594,514.61
  5. Step 5: Solve for x
    x = 594,514.61/820.23
  6. Step 6: Final answer
    x = 724.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.