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Finding the Fourth Proportional to 959.71, 1,318.66 and 762.88

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Solution

The fourth proportional to 959.71, 1,318.66 and 762.88 is: 1,048.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.71 : 1,318.66 = 762.88 : x
  2. Step 2: Convert to fraction form
    959.71/1,318.66 = 762.88/x
  3. Step 3: Cross multiply
    959.71x = 1,318.66 × 762.88
  4. Step 4: Simplify right side
    959.71x = 1,005,974.14
  5. Step 5: Solve for x
    x = 1,005,974.14/959.71
  6. Step 6: Final answer
    x = 1,048.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.