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Finding the Fourth Proportional to 650.36, 973.78 and 541.80

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Solution

The fourth proportional to 650.36, 973.78 and 541.80 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.36 : 973.78 = 541.80 : x
  2. Step 2: Convert to fraction form
    650.36/973.78 = 541.80/x
  3. Step 3: Cross multiply
    650.36x = 973.78 × 541.80
  4. Step 4: Simplify right side
    650.36x = 527,594.00
  5. Step 5: Solve for x
    x = 527,594.00/650.36
  6. Step 6: Final answer
    x = 811.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.