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Finding the Fourth Proportional to 1,432.71, 1,979.34 and 1,225.05

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Solution

The fourth proportional to 1,432.71, 1,979.34 and 1,225.05 is: 1,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.71 : 1,979.34 = 1,225.05 : x
  2. Step 2: Convert to fraction form
    1,432.71/1,979.34 = 1,225.05/x
  3. Step 3: Cross multiply
    1,432.71x = 1,979.34 × 1,225.05
  4. Step 4: Simplify right side
    1,432.71x = 2,424,790.47
  5. Step 5: Solve for x
    x = 2,424,790.47/1,432.71
  6. Step 6: Final answer
    x = 1,692.45

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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.