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Finding the Fourth Proportional to 865.92, 1,299.27 and 470.72

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Solution

The fourth proportional to 865.92, 1,299.27 and 470.72 is: 706.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.92 : 1,299.27 = 470.72 : x
  2. Step 2: Convert to fraction form
    865.92/1,299.27 = 470.72/x
  3. Step 3: Cross multiply
    865.92x = 1,299.27 × 470.72
  4. Step 4: Simplify right side
    865.92x = 611,592.37
  5. Step 5: Solve for x
    x = 611,592.37/865.92
  6. Step 6: Final answer
    x = 706.29

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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.