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Finding the Fourth Proportional to 699.13, 1,042.98 and 649.41

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Solution

The fourth proportional to 699.13, 1,042.98 and 649.41 is: 968.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.13 : 1,042.98 = 649.41 : x
  2. Step 2: Convert to fraction form
    699.13/1,042.98 = 649.41/x
  3. Step 3: Cross multiply
    699.13x = 1,042.98 × 649.41
  4. Step 4: Simplify right side
    699.13x = 677,321.16
  5. Step 5: Solve for x
    x = 677,321.16/699.13
  6. Step 6: Final answer
    x = 968.81

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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.