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Finding the Fourth Proportional to 548.13, 816.53 and 514.51

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Solution

The fourth proportional to 548.13, 816.53 and 514.51 is: 766.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.13 : 816.53 = 514.51 : x
  2. Step 2: Convert to fraction form
    548.13/816.53 = 514.51/x
  3. Step 3: Cross multiply
    548.13x = 816.53 × 514.51
  4. Step 4: Simplify right side
    548.13x = 420,112.85
  5. Step 5: Solve for x
    x = 420,112.85/548.13
  6. Step 6: Final answer
    x = 766.45

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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.