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Finding the Fourth Proportional to 837.77, 1,256.38 and 290.12

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Solution

The fourth proportional to 837.77, 1,256.38 and 290.12 is: 435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.77 : 1,256.38 = 290.12 : x
  2. Step 2: Convert to fraction form
    837.77/1,256.38 = 290.12/x
  3. Step 3: Cross multiply
    837.77x = 1,256.38 × 290.12
  4. Step 4: Simplify right side
    837.77x = 364,493.96
  5. Step 5: Solve for x
    x = 364,493.96/837.77
  6. Step 6: Final answer
    x = 435.08

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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.