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Finding the Fourth Proportional to 712.84, 1,069.42 and 280.04

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Solution

The fourth proportional to 712.84, 1,069.42 and 280.04 is: 420.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 1,069.42 = 280.04 : x
  2. Step 2: Convert to fraction form
    712.84/1,069.42 = 280.04/x
  3. Step 3: Cross multiply
    712.84x = 1,069.42 × 280.04
  4. Step 4: Simplify right side
    712.84x = 299,480.38
  5. Step 5: Solve for x
    x = 299,480.38/712.84
  6. Step 6: Final answer
    x = 420.12

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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.