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Finding the Fourth Proportional to 711.92, 1,068.06 and 224.98

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Solution

The fourth proportional to 711.92, 1,068.06 and 224.98 is: 337.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 1,068.06 = 224.98 : x
  2. Step 2: Convert to fraction form
    711.92/1,068.06 = 224.98/x
  3. Step 3: Cross multiply
    711.92x = 1,068.06 × 224.98
  4. Step 4: Simplify right side
    711.92x = 240,292.14
  5. Step 5: Solve for x
    x = 240,292.14/711.92
  6. Step 6: Final answer
    x = 337.53

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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.