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Finding the Fourth Proportional to 712.92, 1,069.32 and 280.20

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Solution

The fourth proportional to 712.92, 1,069.32 and 280.20 is: 420.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.92 : 1,069.32 = 280.20 : x
  2. Step 2: Convert to fraction form
    712.92/1,069.32 = 280.20/x
  3. Step 3: Cross multiply
    712.92x = 1,069.32 × 280.20
  4. Step 4: Simplify right side
    712.92x = 299,623.46
  5. Step 5: Solve for x
    x = 299,623.46/712.92
  6. Step 6: Final answer
    x = 420.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.