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Finding the Fourth Proportional to 803.19, 1,204.20 and 542.54

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Solution

The fourth proportional to 803.19, 1,204.20 and 542.54 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.19 : 1,204.20 = 542.54 : x
  2. Step 2: Convert to fraction form
    803.19/1,204.20 = 542.54/x
  3. Step 3: Cross multiply
    803.19x = 1,204.20 × 542.54
  4. Step 4: Simplify right side
    803.19x = 653,323.96
  5. Step 5: Solve for x
    x = 653,323.96/803.19
  6. Step 6: Final answer
    x = 813.42

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