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Finding the Fourth Proportional to 873.06, 1,205.76 and 542.27

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Solution

The fourth proportional to 873.06, 1,205.76 and 542.27 is: 748.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.06 : 1,205.76 = 542.27 : x
  2. Step 2: Convert to fraction form
    873.06/1,205.76 = 542.27/x
  3. Step 3: Cross multiply
    873.06x = 1,205.76 × 542.27
  4. Step 4: Simplify right side
    873.06x = 653,847.48
  5. Step 5: Solve for x
    x = 653,847.48/873.06
  6. Step 6: Final answer
    x = 748.91

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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.