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Finding the Fourth Proportional to 847.24, 1,269.18 and 663.77

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Solution

The fourth proportional to 847.24, 1,269.18 and 663.77 is: 994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.24 : 1,269.18 = 663.77 : x
  2. Step 2: Convert to fraction form
    847.24/1,269.18 = 663.77/x
  3. Step 3: Cross multiply
    847.24x = 1,269.18 × 663.77
  4. Step 4: Simplify right side
    847.24x = 842,446.78
  5. Step 5: Solve for x
    x = 842,446.78/847.24
  6. Step 6: Final answer
    x = 994.35

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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.