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Finding the Fourth Proportional to 840.86, 1,159.11 and 728.09

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Solution

The fourth proportional to 840.86, 1,159.11 and 728.09 is: 1,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.86 : 1,159.11 = 728.09 : x
  2. Step 2: Convert to fraction form
    840.86/1,159.11 = 728.09/x
  3. Step 3: Cross multiply
    840.86x = 1,159.11 × 728.09
  4. Step 4: Simplify right side
    840.86x = 843,934.95
  5. Step 5: Solve for x
    x = 843,934.95/840.86
  6. Step 6: Final answer
    x = 1,003.66

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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.