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Finding the Fourth Proportional to 712.38, 1,069.17 and 279.84

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Solution

The fourth proportional to 712.38, 1,069.17 and 279.84 is: 420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.38 : 1,069.17 = 279.84 : x
  2. Step 2: Convert to fraction form
    712.38/1,069.17 = 279.84/x
  3. Step 3: Cross multiply
    712.38x = 1,069.17 × 279.84
  4. Step 4: Simplify right side
    712.38x = 299,196.53
  5. Step 5: Solve for x
    x = 299,196.53/712.38
  6. Step 6: Final answer
    x = 420.00

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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.