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Finding the Fourth Proportional to 837.96, 1,257.05 and 290.10

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Solution

The fourth proportional to 837.96, 1,257.05 and 290.10 is: 435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.96 : 1,257.05 = 290.10 : x
  2. Step 2: Convert to fraction form
    837.96/1,257.05 = 290.10/x
  3. Step 3: Cross multiply
    837.96x = 1,257.05 × 290.10
  4. Step 4: Simplify right side
    837.96x = 364,670.21
  5. Step 5: Solve for x
    x = 364,670.21/837.96
  6. Step 6: Final answer
    x = 435.19

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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.