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Finding the Fourth Proportional to 836.34, 1,151.87 and 785.31

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Solution

The fourth proportional to 836.34, 1,151.87 and 785.31 is: 1,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.34 : 1,151.87 = 785.31 : x
  2. Step 2: Convert to fraction form
    836.34/1,151.87 = 785.31/x
  3. Step 3: Cross multiply
    836.34x = 1,151.87 × 785.31
  4. Step 4: Simplify right side
    836.34x = 904,571.10
  5. Step 5: Solve for x
    x = 904,571.10/836.34
  6. Step 6: Final answer
    x = 1,081.58

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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.