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Finding the Fourth Proportional to 712.74, 1,069.08 and 347.56

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Solution

The fourth proportional to 712.74, 1,069.08 and 347.56 is: 521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.74 : 1,069.08 = 347.56 : x
  2. Step 2: Convert to fraction form
    712.74/1,069.08 = 347.56/x
  3. Step 3: Cross multiply
    712.74x = 1,069.08 × 347.56
  4. Step 4: Simplify right side
    712.74x = 371,569.44
  5. Step 5: Solve for x
    x = 371,569.44/712.74
  6. Step 6: Final answer
    x = 521.33

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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.