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Finding the Fourth Proportional to 600.62, 897.17 and 513.54

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Solution

The fourth proportional to 600.62, 897.17 and 513.54 is: 767.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.62 : 897.17 = 513.54 : x
  2. Step 2: Convert to fraction form
    600.62/897.17 = 513.54/x
  3. Step 3: Cross multiply
    600.62x = 897.17 × 513.54
  4. Step 4: Simplify right side
    600.62x = 460,730.11
  5. Step 5: Solve for x
    x = 460,730.11/600.62
  6. Step 6: Final answer
    x = 767.10

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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.