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Finding the Fourth Proportional to 1,327.86, 1,991.80 and 462.17

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Solution

The fourth proportional to 1,327.86, 1,991.80 and 462.17 is: 693.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.86 : 1,991.80 = 462.17 : x
  2. Step 2: Convert to fraction form
    1,327.86/1,991.80 = 462.17/x
  3. Step 3: Cross multiply
    1,327.86x = 1,991.80 × 462.17
  4. Step 4: Simplify right side
    1,327.86x = 920,550.21
  5. Step 5: Solve for x
    x = 920,550.21/1,327.86
  6. Step 6: Final answer
    x = 693.26

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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.