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Finding the Fourth Proportional to 979.24, 1,351.14 and 772.84

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Solution

The fourth proportional to 979.24, 1,351.14 and 772.84 is: 1,066.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.24 : 1,351.14 = 772.84 : x
  2. Step 2: Convert to fraction form
    979.24/1,351.14 = 772.84/x
  3. Step 3: Cross multiply
    979.24x = 1,351.14 × 772.84
  4. Step 4: Simplify right side
    979.24x = 1,044,215.04
  5. Step 5: Solve for x
    x = 1,044,215.04/979.24
  6. Step 6: Final answer
    x = 1,066.35

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