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Finding the Fourth Proportional to 713.71, 1,070.53 and 200.71

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Solution

The fourth proportional to 713.71, 1,070.53 and 200.71 is: 301.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.71 : 1,070.53 = 200.71 : x
  2. Step 2: Convert to fraction form
    713.71/1,070.53 = 200.71/x
  3. Step 3: Cross multiply
    713.71x = 1,070.53 × 200.71
  4. Step 4: Simplify right side
    713.71x = 214,866.08
  5. Step 5: Solve for x
    x = 214,866.08/713.71
  6. Step 6: Final answer
    x = 301.06

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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.