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Finding the Fourth Proportional to 837.08, 1,256.88 and 722.42

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Solution

The fourth proportional to 837.08, 1,256.88 and 722.42 is: 1,084.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.08 : 1,256.88 = 722.42 : x
  2. Step 2: Convert to fraction form
    837.08/1,256.88 = 722.42/x
  3. Step 3: Cross multiply
    837.08x = 1,256.88 × 722.42
  4. Step 4: Simplify right side
    837.08x = 907,995.25
  5. Step 5: Solve for x
    x = 907,995.25/837.08
  6. Step 6: Final answer
    x = 1,084.72

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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.