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Finding the Fourth Proportional to 1,064.86, 1,469.44 and 622.74

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Solution

The fourth proportional to 1,064.86, 1,469.44 and 622.74 is: 859.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.86 : 1,469.44 = 622.74 : x
  2. Step 2: Convert to fraction form
    1,064.86/1,469.44 = 622.74/x
  3. Step 3: Cross multiply
    1,064.86x = 1,469.44 × 622.74
  4. Step 4: Simplify right side
    1,064.86x = 915,079.07
  5. Step 5: Solve for x
    x = 915,079.07/1,064.86
  6. Step 6: Final answer
    x = 859.34

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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.