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Finding the Fourth Proportional to 821.13, 1,228.95 and 615.18

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Solution

The fourth proportional to 821.13, 1,228.95 and 615.18 is: 920.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.13 : 1,228.95 = 615.18 : x
  2. Step 2: Convert to fraction form
    821.13/1,228.95 = 615.18/x
  3. Step 3: Cross multiply
    821.13x = 1,228.95 × 615.18
  4. Step 4: Simplify right side
    821.13x = 756,025.46
  5. Step 5: Solve for x
    x = 756,025.46/821.13
  6. Step 6: Final answer
    x = 920.71

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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.