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Finding the Fourth Proportional to 618.22, 921.97 and 527.50

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Solution

The fourth proportional to 618.22, 921.97 and 527.50 is: 786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.22 : 921.97 = 527.50 : x
  2. Step 2: Convert to fraction form
    618.22/921.97 = 527.50/x
  3. Step 3: Cross multiply
    618.22x = 921.97 × 527.50
  4. Step 4: Simplify right side
    618.22x = 486,339.18
  5. Step 5: Solve for x
    x = 486,339.18/618.22
  6. Step 6: Final answer
    x = 786.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.