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Finding the Fourth Proportional to 1,049.02, 1,446.42 and 717.64

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Solution

The fourth proportional to 1,049.02, 1,446.42 and 717.64 is: 989.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.02 : 1,446.42 = 717.64 : x
  2. Step 2: Convert to fraction form
    1,049.02/1,446.42 = 717.64/x
  3. Step 3: Cross multiply
    1,049.02x = 1,446.42 × 717.64
  4. Step 4: Simplify right side
    1,049.02x = 1,038,008.85
  5. Step 5: Solve for x
    x = 1,038,008.85/1,049.02
  6. Step 6: Final answer
    x = 989.50

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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.