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Finding the Fourth Proportional to 712.16, 1,067.71 and 480.40

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Solution

The fourth proportional to 712.16, 1,067.71 and 480.40 is: 720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.16 : 1,067.71 = 480.40 : x
  2. Step 2: Convert to fraction form
    712.16/1,067.71 = 480.40/x
  3. Step 3: Cross multiply
    712.16x = 1,067.71 × 480.40
  4. Step 4: Simplify right side
    712.16x = 512,920.14
  5. Step 5: Solve for x
    x = 512,920.14/712.16
  6. Step 6: Final answer
    x = 720.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.