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Finding the Fourth Proportional to 1,432.02, 1,976.22 and 811.02

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Solution

The fourth proportional to 1,432.02, 1,976.22 and 811.02 is: 1,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.02 : 1,976.22 = 811.02 : x
  2. Step 2: Convert to fraction form
    1,432.02/1,976.22 = 811.02/x
  3. Step 3: Cross multiply
    1,432.02x = 1,976.22 × 811.02
  4. Step 4: Simplify right side
    1,432.02x = 1,602,753.94
  5. Step 5: Solve for x
    x = 1,602,753.94/1,432.02
  6. Step 6: Final answer
    x = 1,119.23

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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.