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Finding the Fourth Proportional to 836.90, 1,254.30 and 426.14

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Solution

The fourth proportional to 836.90, 1,254.30 and 426.14 is: 638.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.90 : 1,254.30 = 426.14 : x
  2. Step 2: Convert to fraction form
    836.90/1,254.30 = 426.14/x
  3. Step 3: Cross multiply
    836.90x = 1,254.30 × 426.14
  4. Step 4: Simplify right side
    836.90x = 534,507.40
  5. Step 5: Solve for x
    x = 534,507.40/836.90
  6. Step 6: Final answer
    x = 638.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.