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Finding the Fourth Proportional to 652.73, 977.54 and 548.10

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Solution

The fourth proportional to 652.73, 977.54 and 548.10 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.73 : 977.54 = 548.10 : x
  2. Step 2: Convert to fraction form
    652.73/977.54 = 548.10/x
  3. Step 3: Cross multiply
    652.73x = 977.54 × 548.10
  4. Step 4: Simplify right side
    652.73x = 535,786.93
  5. Step 5: Solve for x
    x = 535,786.93/652.73
  6. Step 6: Final answer
    x = 820.85

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