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Finding the Fourth Proportional to 906.90, 1,357.33 and 689.26

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Solution

The fourth proportional to 906.90, 1,357.33 and 689.26 is: 1,031.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.90 : 1,357.33 = 689.26 : x
  2. Step 2: Convert to fraction form
    906.90/1,357.33 = 689.26/x
  3. Step 3: Cross multiply
    906.90x = 1,357.33 × 689.26
  4. Step 4: Simplify right side
    906.90x = 935,553.28
  5. Step 5: Solve for x
    x = 935,553.28/906.90
  6. Step 6: Final answer
    x = 1,031.59

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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.