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Finding the Fourth Proportional to 1,061.74, 1,592.97 and 548.38

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Solution

The fourth proportional to 1,061.74, 1,592.97 and 548.38 is: 822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,061.74 : 1,592.97 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,061.74/1,592.97 = 548.38/x
  3. Step 3: Cross multiply
    1,061.74x = 1,592.97 × 548.38
  4. Step 4: Simplify right side
    1,061.74x = 873,542.18
  5. Step 5: Solve for x
    x = 873,542.18/1,061.74
  6. Step 6: Final answer
    x = 822.75

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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.