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Finding the Fourth Proportional to 811.19, 1,214.69 and 564.05

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Solution

The fourth proportional to 811.19, 1,214.69 and 564.05 is: 844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.19 : 1,214.69 = 564.05 : x
  2. Step 2: Convert to fraction form
    811.19/1,214.69 = 564.05/x
  3. Step 3: Cross multiply
    811.19x = 1,214.69 × 564.05
  4. Step 4: Simplify right side
    811.19x = 685,146.11
  5. Step 5: Solve for x
    x = 685,146.11/811.19
  6. Step 6: Final answer
    x = 844.62

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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.