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Finding the Fourth Proportional to 1,395.21, 2,092.98 and 470.86

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Solution

The fourth proportional to 1,395.21, 2,092.98 and 470.86 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.21 : 2,092.98 = 470.86 : x
  2. Step 2: Convert to fraction form
    1,395.21/2,092.98 = 470.86/x
  3. Step 3: Cross multiply
    1,395.21x = 2,092.98 × 470.86
  4. Step 4: Simplify right side
    1,395.21x = 985,500.56
  5. Step 5: Solve for x
    x = 985,500.56/1,395.21
  6. Step 6: Final answer
    x = 706.35

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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.