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Finding the Fourth Proportional to 968.84, 1,338.36 and 772.12

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Solution

The fourth proportional to 968.84, 1,338.36 and 772.12 is: 1,066.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.84 : 1,338.36 = 772.12 : x
  2. Step 2: Convert to fraction form
    968.84/1,338.36 = 772.12/x
  3. Step 3: Cross multiply
    968.84x = 1,338.36 × 772.12
  4. Step 4: Simplify right side
    968.84x = 1,033,374.52
  5. Step 5: Solve for x
    x = 1,033,374.52/968.84
  6. Step 6: Final answer
    x = 1,066.61

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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.