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Finding the Fourth Proportional to 1,432, 1,976.24 and 811.20

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Solution

The fourth proportional to 1,432, 1,976.24 and 811.20 is: 1,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432 : 1,976.24 = 811.20 : x
  2. Step 2: Convert to fraction form
    1,432/1,976.24 = 811.20/x
  3. Step 3: Cross multiply
    1,432x = 1,976.24 × 811.20
  4. Step 4: Simplify right side
    1,432x = 1,603,125.89
  5. Step 5: Solve for x
    x = 1,603,125.89/1,432
  6. Step 6: Final answer
    x = 1,119.50

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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.