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Finding the Fourth Proportional to 811.08, 1,214.30 and 616.87

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Solution

The fourth proportional to 811.08, 1,214.30 and 616.87 is: 923.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.08 : 1,214.30 = 616.87 : x
  2. Step 2: Convert to fraction form
    811.08/1,214.30 = 616.87/x
  3. Step 3: Cross multiply
    811.08x = 1,214.30 × 616.87
  4. Step 4: Simplify right side
    811.08x = 749,065.24
  5. Step 5: Solve for x
    x = 749,065.24/811.08
  6. Step 6: Final answer
    x = 923.54

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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.