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Finding the Fourth Proportional to 712.43, 1,068.76 and 250.20

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Solution

The fourth proportional to 712.43, 1,068.76 and 250.20 is: 375.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.43 : 1,068.76 = 250.20 : x
  2. Step 2: Convert to fraction form
    712.43/1,068.76 = 250.20/x
  3. Step 3: Cross multiply
    712.43x = 1,068.76 × 250.20
  4. Step 4: Simplify right side
    712.43x = 267,403.75
  5. Step 5: Solve for x
    x = 267,403.75/712.43
  6. Step 6: Final answer
    x = 375.34

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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.