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Finding the Fourth Proportional to 690.09, 1,032.90 and 443.44

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Solution

The fourth proportional to 690.09, 1,032.90 and 443.44 is: 663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.09 : 1,032.90 = 443.44 : x
  2. Step 2: Convert to fraction form
    690.09/1,032.90 = 443.44/x
  3. Step 3: Cross multiply
    690.09x = 1,032.90 × 443.44
  4. Step 4: Simplify right side
    690.09x = 458,029.18
  5. Step 5: Solve for x
    x = 458,029.18/690.09
  6. Step 6: Final answer
    x = 663.72

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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.