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Finding the Fourth Proportional to 1,065.14, 1,469.67 and 622.95

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Solution

The fourth proportional to 1,065.14, 1,469.67 and 622.95 is: 859.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.14 : 1,469.67 = 622.95 : x
  2. Step 2: Convert to fraction form
    1,065.14/1,469.67 = 622.95/x
  3. Step 3: Cross multiply
    1,065.14x = 1,469.67 × 622.95
  4. Step 4: Simplify right side
    1,065.14x = 915,530.93
  5. Step 5: Solve for x
    x = 915,530.93/1,065.14
  6. Step 6: Final answer
    x = 859.54

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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.