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Finding the Fourth Proportional to 956.14, 1,319.25 and 693.70

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Solution

The fourth proportional to 956.14, 1,319.25 and 693.70 is: 957.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.14 : 1,319.25 = 693.70 : x
  2. Step 2: Convert to fraction form
    956.14/1,319.25 = 693.70/x
  3. Step 3: Cross multiply
    956.14x = 1,319.25 × 693.70
  4. Step 4: Simplify right side
    956.14x = 915,163.73
  5. Step 5: Solve for x
    x = 915,163.73/956.14
  6. Step 6: Final answer
    x = 957.14

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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.