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Finding the Fourth Proportional to 713.91, 1,071.27 and 470.55

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Solution

The fourth proportional to 713.91, 1,071.27 and 470.55 is: 706.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.91 : 1,071.27 = 470.55 : x
  2. Step 2: Convert to fraction form
    713.91/1,071.27 = 470.55/x
  3. Step 3: Cross multiply
    713.91x = 1,071.27 × 470.55
  4. Step 4: Simplify right side
    713.91x = 504,086.10
  5. Step 5: Solve for x
    x = 504,086.10/713.91
  6. Step 6: Final answer
    x = 706.09

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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.