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Finding the Fourth Proportional to 837.33, 1,257 and 607.69

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Solution

The fourth proportional to 837.33, 1,257 and 607.69 is: 912.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.33 : 1,257 = 607.69 : x
  2. Step 2: Convert to fraction form
    837.33/1,257 = 607.69/x
  3. Step 3: Cross multiply
    837.33x = 1,257 × 607.69
  4. Step 4: Simplify right side
    837.33x = 763,866.33
  5. Step 5: Solve for x
    x = 763,866.33/837.33
  6. Step 6: Final answer
    x = 912.26

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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.