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Finding the Fourth Proportional to 811.92, 1,120.86 and 590.79

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Solution

The fourth proportional to 811.92, 1,120.86 and 590.79 is: 815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.92 : 1,120.86 = 590.79 : x
  2. Step 2: Convert to fraction form
    811.92/1,120.86 = 590.79/x
  3. Step 3: Cross multiply
    811.92x = 1,120.86 × 590.79
  4. Step 4: Simplify right side
    811.92x = 662,192.88
  5. Step 5: Solve for x
    x = 662,192.88/811.92
  6. Step 6: Final answer
    x = 815.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.