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Finding the Fourth Proportional to 654.54, 976.04 and 563.82

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Solution

The fourth proportional to 654.54, 976.04 and 563.82 is: 840.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.54 : 976.04 = 563.82 : x
  2. Step 2: Convert to fraction form
    654.54/976.04 = 563.82/x
  3. Step 3: Cross multiply
    654.54x = 976.04 × 563.82
  4. Step 4: Simplify right side
    654.54x = 550,308.05
  5. Step 5: Solve for x
    x = 550,308.05/654.54
  6. Step 6: Final answer
    x = 840.76

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Why These Related Problems?

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