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Finding the Fourth Proportional to 1,162.86, 1,743.86 and 469.31

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Solution

The fourth proportional to 1,162.86, 1,743.86 and 469.31 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.86 : 1,743.86 = 469.31 : x
  2. Step 2: Convert to fraction form
    1,162.86/1,743.86 = 469.31/x
  3. Step 3: Cross multiply
    1,162.86x = 1,743.86 × 469.31
  4. Step 4: Simplify right side
    1,162.86x = 818,399.87
  5. Step 5: Solve for x
    x = 818,399.87/1,162.86
  6. Step 6: Final answer
    x = 703.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.