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Finding the Fourth Proportional to 616.60, 925.12 and 548.62

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Solution

The fourth proportional to 616.60, 925.12 and 548.62 is: 823.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.60 : 925.12 = 548.62 : x
  2. Step 2: Convert to fraction form
    616.60/925.12 = 548.62/x
  3. Step 3: Cross multiply
    616.60x = 925.12 × 548.62
  4. Step 4: Simplify right side
    616.60x = 507,539.33
  5. Step 5: Solve for x
    x = 507,539.33/616.60
  6. Step 6: Final answer
    x = 823.13

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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.