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Finding the Fourth Proportional to 1,432.71, 1,976.81 and 1,039.05

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Solution

The fourth proportional to 1,432.71, 1,976.81 and 1,039.05 is: 1,433.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.71 : 1,976.81 = 1,039.05 : x
  2. Step 2: Convert to fraction form
    1,432.71/1,976.81 = 1,039.05/x
  3. Step 3: Cross multiply
    1,432.71x = 1,976.81 × 1,039.05
  4. Step 4: Simplify right side
    1,432.71x = 2,053,999.24
  5. Step 5: Solve for x
    x = 2,053,999.24/1,432.71
  6. Step 6: Final answer
    x = 1,433.65

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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.