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Finding the Fourth Proportional to 1,432.43, 1,976.35 and 901.38

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Solution

The fourth proportional to 1,432.43, 1,976.35 and 901.38 is: 1,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.43 : 1,976.35 = 901.38 : x
  2. Step 2: Convert to fraction form
    1,432.43/1,976.35 = 901.38/x
  3. Step 3: Cross multiply
    1,432.43x = 1,976.35 × 901.38
  4. Step 4: Simplify right side
    1,432.43x = 1,781,437.86
  5. Step 5: Solve for x
    x = 1,781,437.86/1,432.43
  6. Step 6: Final answer
    x = 1,243.65

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Why These Related Problems?

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