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Finding the Fourth Proportional to 1,432.48, 1,975.26 and 1,039.72

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Solution

The fourth proportional to 1,432.48, 1,975.26 and 1,039.72 is: 1,433.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.48 : 1,975.26 = 1,039.72 : x
  2. Step 2: Convert to fraction form
    1,432.48/1,975.26 = 1,039.72/x
  3. Step 3: Cross multiply
    1,432.48x = 1,975.26 × 1,039.72
  4. Step 4: Simplify right side
    1,432.48x = 2,053,717.33
  5. Step 5: Solve for x
    x = 2,053,717.33/1,432.48
  6. Step 6: Final answer
    x = 1,433.68

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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.