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Finding the Fourth Proportional to 660.18, 911.83 and 527.86

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Solution

The fourth proportional to 660.18, 911.83 and 527.86 is: 729.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.18 : 911.83 = 527.86 : x
  2. Step 2: Convert to fraction form
    660.18/911.83 = 527.86/x
  3. Step 3: Cross multiply
    660.18x = 911.83 × 527.86
  4. Step 4: Simplify right side
    660.18x = 481,315.94
  5. Step 5: Solve for x
    x = 481,315.94/660.18
  6. Step 6: Final answer
    x = 729.07

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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.