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Finding the Fourth Proportional to 837.08, 1,254.62 and 391.74

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Solution

The fourth proportional to 837.08, 1,254.62 and 391.74 is: 587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.08 : 1,254.62 = 391.74 : x
  2. Step 2: Convert to fraction form
    837.08/1,254.62 = 391.74/x
  3. Step 3: Cross multiply
    837.08x = 1,254.62 × 391.74
  4. Step 4: Simplify right side
    837.08x = 491,484.84
  5. Step 5: Solve for x
    x = 491,484.84/837.08
  6. Step 6: Final answer
    x = 587.14

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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.