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Finding the Fourth Proportional to 720.94, 1,081.59 and 207.94

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Solution

The fourth proportional to 720.94, 1,081.59 and 207.94 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.94 : 1,081.59 = 207.94 : x
  2. Step 2: Convert to fraction form
    720.94/1,081.59 = 207.94/x
  3. Step 3: Cross multiply
    720.94x = 1,081.59 × 207.94
  4. Step 4: Simplify right side
    720.94x = 224,902.34
  5. Step 5: Solve for x
    x = 224,902.34/720.94
  6. Step 6: Final answer
    x = 311.96

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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.