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Finding the Fourth Proportional to 660.83, 911.20 and 540.83

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Solution

The fourth proportional to 660.83, 911.20 and 540.83 is: 745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.83 : 911.20 = 540.83 : x
  2. Step 2: Convert to fraction form
    660.83/911.20 = 540.83/x
  3. Step 3: Cross multiply
    660.83x = 911.20 × 540.83
  4. Step 4: Simplify right side
    660.83x = 492,804.30
  5. Step 5: Solve for x
    x = 492,804.30/660.83
  6. Step 6: Final answer
    x = 745.74

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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.