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Finding the Fourth Proportional to 1,289.32, 1,777.24 and 1,079.12

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Solution

The fourth proportional to 1,289.32, 1,777.24 and 1,079.12 is: 1,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.32 : 1,777.24 = 1,079.12 : x
  2. Step 2: Convert to fraction form
    1,289.32/1,777.24 = 1,079.12/x
  3. Step 3: Cross multiply
    1,289.32x = 1,777.24 × 1,079.12
  4. Step 4: Simplify right side
    1,289.32x = 1,917,861.02
  5. Step 5: Solve for x
    x = 1,917,861.02/1,289.32
  6. Step 6: Final answer
    x = 1,487.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.