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Finding the Fourth Proportional to 649.23, 972.10 and 518.34

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Solution

The fourth proportional to 649.23, 972.10 and 518.34 is: 776.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.23 : 972.10 = 518.34 : x
  2. Step 2: Convert to fraction form
    649.23/972.10 = 518.34/x
  3. Step 3: Cross multiply
    649.23x = 972.10 × 518.34
  4. Step 4: Simplify right side
    649.23x = 503,878.31
  5. Step 5: Solve for x
    x = 503,878.31/649.23
  6. Step 6: Final answer
    x = 776.12

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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.