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Finding the Fourth Proportional to 694.77, 1,039.74 and 431.10

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Solution

The fourth proportional to 694.77, 1,039.74 and 431.10 is: 645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.77 : 1,039.74 = 431.10 : x
  2. Step 2: Convert to fraction form
    694.77/1,039.74 = 431.10/x
  3. Step 3: Cross multiply
    694.77x = 1,039.74 × 431.10
  4. Step 4: Simplify right side
    694.77x = 448,231.91
  5. Step 5: Solve for x
    x = 448,231.91/694.77
  6. Step 6: Final answer
    x = 645.15

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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.