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Finding the Fourth Proportional to 650.90, 898.34 and 540.20

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Solution

The fourth proportional to 650.90, 898.34 and 540.20 is: 745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.90 : 898.34 = 540.20 : x
  2. Step 2: Convert to fraction form
    650.90/898.34 = 540.20/x
  3. Step 3: Cross multiply
    650.90x = 898.34 × 540.20
  4. Step 4: Simplify right side
    650.90x = 485,282.81
  5. Step 5: Solve for x
    x = 485,282.81/650.90
  6. Step 6: Final answer
    x = 745.55

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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.