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Finding the Fourth Proportional to 1,025.75, 1,414.69 and 693.65

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Solution

The fourth proportional to 1,025.75, 1,414.69 and 693.65 is: 956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.75 : 1,414.69 = 693.65 : x
  2. Step 2: Convert to fraction form
    1,025.75/1,414.69 = 693.65/x
  3. Step 3: Cross multiply
    1,025.75x = 1,414.69 × 693.65
  4. Step 4: Simplify right side
    1,025.75x = 981,301.52
  5. Step 5: Solve for x
    x = 981,301.52/1,025.75
  6. Step 6: Final answer
    x = 956.67

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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.