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Finding the Fourth Proportional to 713.66, 1,070.50 and 227.12

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Solution

The fourth proportional to 713.66, 1,070.50 and 227.12 is: 340.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.66 : 1,070.50 = 227.12 : x
  2. Step 2: Convert to fraction form
    713.66/1,070.50 = 227.12/x
  3. Step 3: Cross multiply
    713.66x = 1,070.50 × 227.12
  4. Step 4: Simplify right side
    713.66x = 243,131.96
  5. Step 5: Solve for x
    x = 243,131.96/713.66
  6. Step 6: Final answer
    x = 340.68

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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.