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Finding the Fourth Proportional to 811.17, 1,214.46 and 606.69

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Solution

The fourth proportional to 811.17, 1,214.46 and 606.69 is: 908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.17 : 1,214.46 = 606.69 : x
  2. Step 2: Convert to fraction form
    811.17/1,214.46 = 606.69/x
  3. Step 3: Cross multiply
    811.17x = 1,214.46 × 606.69
  4. Step 4: Simplify right side
    811.17x = 736,800.74
  5. Step 5: Solve for x
    x = 736,800.74/811.17
  6. Step 6: Final answer
    x = 908.32

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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.