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Finding the Fourth Proportional to 1,395.34, 2,092.92 and 470.86

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Solution

The fourth proportional to 1,395.34, 2,092.92 and 470.86 is: 706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.34 : 2,092.92 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,395.34/2,092.92 = 470.86/x
  3. Step 3: Cross multiply
    1,395.34x = 2,092.92 × 470.86
  4. Step 4: Simplify right side
    1,395.34x = 985,472.31
  5. Step 5: Solve for x
    x = 985,472.31/1,395.34
  6. Step 6: Final answer
    x = 706.26

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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.