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Finding the Fourth Proportional to 687.69, 1,029.68 and 394.94

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Solution

The fourth proportional to 687.69, 1,029.68 and 394.94 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.69 : 1,029.68 = 394.94 : x
  2. Step 2: Convert to fraction form
    687.69/1,029.68 = 394.94/x
  3. Step 3: Cross multiply
    687.69x = 1,029.68 × 394.94
  4. Step 4: Simplify right side
    687.69x = 406,665.38
  5. Step 5: Solve for x
    x = 406,665.38/687.69
  6. Step 6: Final answer
    x = 591.35

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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.