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Finding the Fourth Proportional to 660.36, 911.38 and 645.24

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Solution

The fourth proportional to 660.36, 911.38 and 645.24 is: 890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.36 : 911.38 = 645.24 : x
  2. Step 2: Convert to fraction form
    660.36/911.38 = 645.24/x
  3. Step 3: Cross multiply
    660.36x = 911.38 × 645.24
  4. Step 4: Simplify right side
    660.36x = 588,058.83
  5. Step 5: Solve for x
    x = 588,058.83/660.36
  6. Step 6: Final answer
    x = 890.51

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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.