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Finding the Fourth Proportional to 1,126.42, 1,689.19 and 664.31

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Solution

The fourth proportional to 1,126.42, 1,689.19 and 664.31 is: 996.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.42 : 1,689.19 = 664.31 : x
  2. Step 2: Convert to fraction form
    1,126.42/1,689.19 = 664.31/x
  3. Step 3: Cross multiply
    1,126.42x = 1,689.19 × 664.31
  4. Step 4: Simplify right side
    1,126.42x = 1,122,148.37
  5. Step 5: Solve for x
    x = 1,122,148.37/1,126.42
  6. Step 6: Final answer
    x = 996.21

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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.