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Finding the Fourth Proportional to 836.49, 1,153.99 and 587.97

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Solution

The fourth proportional to 836.49, 1,153.99 and 587.97 is: 811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.49 : 1,153.99 = 587.97 : x
  2. Step 2: Convert to fraction form
    836.49/1,153.99 = 587.97/x
  3. Step 3: Cross multiply
    836.49x = 1,153.99 × 587.97
  4. Step 4: Simplify right side
    836.49x = 678,512.92
  5. Step 5: Solve for x
    x = 678,512.92/836.49
  6. Step 6: Final answer
    x = 811.14

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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.