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Finding the Fourth Proportional to 810.02, 1,214.24 and 516.61

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Solution

The fourth proportional to 810.02, 1,214.24 and 516.61 is: 774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.02 : 1,214.24 = 516.61 : x
  2. Step 2: Convert to fraction form
    810.02/1,214.24 = 516.61/x
  3. Step 3: Cross multiply
    810.02x = 1,214.24 × 516.61
  4. Step 4: Simplify right side
    810.02x = 627,282.46
  5. Step 5: Solve for x
    x = 627,282.46/810.02
  6. Step 6: Final answer
    x = 774.40

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Why These Related Problems?

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