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Finding the Fourth Proportional to 712.92, 1,069.80 and 256.92

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Solution

The fourth proportional to 712.92, 1,069.80 and 256.92 is: 385.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.92 : 1,069.80 = 256.92 : x
  2. Step 2: Convert to fraction form
    712.92/1,069.80 = 256.92/x
  3. Step 3: Cross multiply
    712.92x = 1,069.80 × 256.92
  4. Step 4: Simplify right side
    712.92x = 274,853.02
  5. Step 5: Solve for x
    x = 274,853.02/712.92
  6. Step 6: Final answer
    x = 385.53

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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.