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Finding the Fourth Proportional to 1,035.81, 1,553.27 and 548.75

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Solution

The fourth proportional to 1,035.81, 1,553.27 and 548.75 is: 822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.81 : 1,553.27 = 548.75 : x
  2. Step 2: Convert to fraction form
    1,035.81/1,553.27 = 548.75/x
  3. Step 3: Cross multiply
    1,035.81x = 1,553.27 × 548.75
  4. Step 4: Simplify right side
    1,035.81x = 852,358.05
  5. Step 5: Solve for x
    x = 852,358.05/1,035.81
  6. Step 6: Final answer
    x = 822.89

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Why These Related Problems?

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