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Finding the Fourth Proportional to 712.40, 1,068.56 and 199.40

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Solution

The fourth proportional to 712.40, 1,068.56 and 199.40 is: 299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.40 : 1,068.56 = 199.40 : x
  2. Step 2: Convert to fraction form
    712.40/1,068.56 = 199.40/x
  3. Step 3: Cross multiply
    712.40x = 1,068.56 × 199.40
  4. Step 4: Simplify right side
    712.40x = 213,070.86
  5. Step 5: Solve for x
    x = 213,070.86/712.40
  6. Step 6: Final answer
    x = 299.09

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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.