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Finding the Fourth Proportional to 694.72, 1,036.44 and 675.88

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Solution

The fourth proportional to 694.72, 1,036.44 and 675.88 is: 1,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.72 : 1,036.44 = 675.88 : x
  2. Step 2: Convert to fraction form
    694.72/1,036.44 = 675.88/x
  3. Step 3: Cross multiply
    694.72x = 1,036.44 × 675.88
  4. Step 4: Simplify right side
    694.72x = 700,509.07
  5. Step 5: Solve for x
    x = 700,509.07/694.72
  6. Step 6: Final answer
    x = 1,008.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.