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Finding the Fourth Proportional to 967.12, 1,334.12 and 568.71

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Solution

The fourth proportional to 967.12, 1,334.12 and 568.71 is: 784.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.12 : 1,334.12 = 568.71 : x
  2. Step 2: Convert to fraction form
    967.12/1,334.12 = 568.71/x
  3. Step 3: Cross multiply
    967.12x = 1,334.12 × 568.71
  4. Step 4: Simplify right side
    967.12x = 758,717.87
  5. Step 5: Solve for x
    x = 758,717.87/967.12
  6. Step 6: Final answer
    x = 784.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.