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Finding the Fourth Proportional to 811.07, 1,217.20 and 464.57

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Solution

The fourth proportional to 811.07, 1,217.20 and 464.57 is: 697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.07 : 1,217.20 = 464.57 : x
  2. Step 2: Convert to fraction form
    811.07/1,217.20 = 464.57/x
  3. Step 3: Cross multiply
    811.07x = 1,217.20 × 464.57
  4. Step 4: Simplify right side
    811.07x = 565,471.53
  5. Step 5: Solve for x
    x = 565,471.53/811.07
  6. Step 6: Final answer
    x = 697.19

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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.