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Finding the Fourth Proportional to 764.36, 1,053.48 and 659.24

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Solution

The fourth proportional to 764.36, 1,053.48 and 659.24 is: 908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.36 : 1,053.48 = 659.24 : x
  2. Step 2: Convert to fraction form
    764.36/1,053.48 = 659.24/x
  3. Step 3: Cross multiply
    764.36x = 1,053.48 × 659.24
  4. Step 4: Simplify right side
    764.36x = 694,496.16
  5. Step 5: Solve for x
    x = 694,496.16/764.36
  6. Step 6: Final answer
    x = 908.60

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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.