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Finding the Fourth Proportional to 811.59, 1,218.21 and 580.74

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Solution

The fourth proportional to 811.59, 1,218.21 and 580.74 is: 871.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.59 : 1,218.21 = 580.74 : x
  2. Step 2: Convert to fraction form
    811.59/1,218.21 = 580.74/x
  3. Step 3: Cross multiply
    811.59x = 1,218.21 × 580.74
  4. Step 4: Simplify right side
    811.59x = 707,463.28
  5. Step 5: Solve for x
    x = 707,463.28/811.59
  6. Step 6: Final answer
    x = 871.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.