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Finding the Fourth Proportional to 1,433.07, 1,975.05 and 1,039.41

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Solution

The fourth proportional to 1,433.07, 1,975.05 and 1,039.41 is: 1,432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.07 : 1,975.05 = 1,039.41 : x
  2. Step 2: Convert to fraction form
    1,433.07/1,975.05 = 1,039.41/x
  3. Step 3: Cross multiply
    1,433.07x = 1,975.05 × 1,039.41
  4. Step 4: Simplify right side
    1,433.07x = 2,052,886.72
  5. Step 5: Solve for x
    x = 2,052,886.72/1,433.07
  6. Step 6: Final answer
    x = 1,432.51

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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.