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Finding the Fourth Proportional to 880.11, 1,319.36 and 446.76

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Solution

The fourth proportional to 880.11, 1,319.36 and 446.76 is: 669.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.11 : 1,319.36 = 446.76 : x
  2. Step 2: Convert to fraction form
    880.11/1,319.36 = 446.76/x
  3. Step 3: Cross multiply
    880.11x = 1,319.36 × 446.76
  4. Step 4: Simplify right side
    880.11x = 589,435.04
  5. Step 5: Solve for x
    x = 589,435.04/880.11
  6. Step 6: Final answer
    x = 669.73

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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.