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Finding the Fourth Proportional to 712.60, 1,069.26 and 347.32

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Solution

The fourth proportional to 712.60, 1,069.26 and 347.32 is: 521.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.60 : 1,069.26 = 347.32 : x
  2. Step 2: Convert to fraction form
    712.60/1,069.26 = 347.32/x
  3. Step 3: Cross multiply
    712.60x = 1,069.26 × 347.32
  4. Step 4: Simplify right side
    712.60x = 371,375.38
  5. Step 5: Solve for x
    x = 371,375.38/712.60
  6. Step 6: Final answer
    x = 521.16

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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.