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Finding the Fourth Proportional to 739.40, 1,108.55 and 446.84

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Solution

The fourth proportional to 739.40, 1,108.55 and 446.84 is: 669.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.40 : 1,108.55 = 446.84 : x
  2. Step 2: Convert to fraction form
    739.40/1,108.55 = 446.84/x
  3. Step 3: Cross multiply
    739.40x = 1,108.55 × 446.84
  4. Step 4: Simplify right side
    739.40x = 495,346.69
  5. Step 5: Solve for x
    x = 495,346.69/739.40
  6. Step 6: Final answer
    x = 669.93

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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.