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Finding the Fourth Proportional to 713.75, 1,070.64 and 226.76

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Solution

The fourth proportional to 713.75, 1,070.64 and 226.76 is: 340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.75 : 1,070.64 = 226.76 : x
  2. Step 2: Convert to fraction form
    713.75/1,070.64 = 226.76/x
  3. Step 3: Cross multiply
    713.75x = 1,070.64 × 226.76
  4. Step 4: Simplify right side
    713.75x = 242,772.97
  5. Step 5: Solve for x
    x = 242,772.97/713.75
  6. Step 6: Final answer
    x = 340.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.