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Finding the Fourth Proportional to 957.39, 1,319.36 and 691.37

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Solution

The fourth proportional to 957.39, 1,319.36 and 691.37 is: 952.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.39 : 1,319.36 = 691.37 : x
  2. Step 2: Convert to fraction form
    957.39/1,319.36 = 691.37/x
  3. Step 3: Cross multiply
    957.39x = 1,319.36 × 691.37
  4. Step 4: Simplify right side
    957.39x = 912,160.82
  5. Step 5: Solve for x
    x = 912,160.82/957.39
  6. Step 6: Final answer
    x = 952.76

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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.