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Finding the Fourth Proportional to 649.32, 894.54 and 518.10

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Solution

The fourth proportional to 649.32, 894.54 and 518.10 is: 713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 894.54 = 518.10 : x
  2. Step 2: Convert to fraction form
    649.32/894.54 = 518.10/x
  3. Step 3: Cross multiply
    649.32x = 894.54 × 518.10
  4. Step 4: Simplify right side
    649.32x = 463,461.17
  5. Step 5: Solve for x
    x = 463,461.17/649.32
  6. Step 6: Final answer
    x = 713.76

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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.