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Finding the Fourth Proportional to 712.62, 1,067.64 and 347.16

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Solution

The fourth proportional to 712.62, 1,067.64 and 347.16 is: 520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.62 : 1,067.64 = 347.16 : x
  2. Step 2: Convert to fraction form
    712.62/1,067.64 = 347.16/x
  3. Step 3: Cross multiply
    712.62x = 1,067.64 × 347.16
  4. Step 4: Simplify right side
    712.62x = 370,641.90
  5. Step 5: Solve for x
    x = 370,641.90/712.62
  6. Step 6: Final answer
    x = 520.11

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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.