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Finding the Fourth Proportional to 616.74, 852.30 and 551.94

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Solution

The fourth proportional to 616.74, 852.30 and 551.94 is: 762.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.74 : 852.30 = 551.94 : x
  2. Step 2: Convert to fraction form
    616.74/852.30 = 551.94/x
  3. Step 3: Cross multiply
    616.74x = 852.30 × 551.94
  4. Step 4: Simplify right side
    616.74x = 470,418.46
  5. Step 5: Solve for x
    x = 470,418.46/616.74
  6. Step 6: Final answer
    x = 762.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.