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Finding the Fourth Proportional to 687.91, 1,032.12 and 414.19

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Solution

The fourth proportional to 687.91, 1,032.12 and 414.19 is: 621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.91 : 1,032.12 = 414.19 : x
  2. Step 2: Convert to fraction form
    687.91/1,032.12 = 414.19/x
  3. Step 3: Cross multiply
    687.91x = 1,032.12 × 414.19
  4. Step 4: Simplify right side
    687.91x = 427,493.78
  5. Step 5: Solve for x
    x = 427,493.78/687.91
  6. Step 6: Final answer
    x = 621.44

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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.