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Finding the Fourth Proportional to 869.08, 1,200.56 and 694.20

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Solution

The fourth proportional to 869.08, 1,200.56 and 694.20 is: 958.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.08 : 1,200.56 = 694.20 : x
  2. Step 2: Convert to fraction form
    869.08/1,200.56 = 694.20/x
  3. Step 3: Cross multiply
    869.08x = 1,200.56 × 694.20
  4. Step 4: Simplify right side
    869.08x = 833,428.75
  5. Step 5: Solve for x
    x = 833,428.75/869.08
  6. Step 6: Final answer
    x = 958.98

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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.