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Finding the Fourth Proportional to 967.11, 1,334.16 and 568.65

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Solution

The fourth proportional to 967.11, 1,334.16 and 568.65 is: 784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.11 : 1,334.16 = 568.65 : x
  2. Step 2: Convert to fraction form
    967.11/1,334.16 = 568.65/x
  3. Step 3: Cross multiply
    967.11x = 1,334.16 × 568.65
  4. Step 4: Simplify right side
    967.11x = 758,670.08
  5. Step 5: Solve for x
    x = 758,670.08/967.11
  6. Step 6: Final answer
    x = 784.47

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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.