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Finding the Fourth Proportional to 1,064.87, 1,469.69 and 622.76

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Solution

The fourth proportional to 1,064.87, 1,469.69 and 622.76 is: 859.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.87 : 1,469.69 = 622.76 : x
  2. Step 2: Convert to fraction form
    1,064.87/1,469.69 = 622.76/x
  3. Step 3: Cross multiply
    1,064.87x = 1,469.69 × 622.76
  4. Step 4: Simplify right side
    1,064.87x = 915,271.92
  5. Step 5: Solve for x
    x = 915,271.92/1,064.87
  6. Step 6: Final answer
    x = 859.51

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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.