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Finding the Fourth Proportional to 712.84, 1,069.30 and 225.93

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Solution

The fourth proportional to 712.84, 1,069.30 and 225.93 is: 338.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.84 : 1,069.30 = 225.93 : x
  2. Step 2: Convert to fraction form
    712.84/1,069.30 = 225.93/x
  3. Step 3: Cross multiply
    712.84x = 1,069.30 × 225.93
  4. Step 4: Simplify right side
    712.84x = 241,591.20
  5. Step 5: Solve for x
    x = 241,591.20/712.84
  6. Step 6: Final answer
    x = 338.91

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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.