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Finding the Fourth Proportional to 836.60, 1,257.60 and 594.80

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Solution

The fourth proportional to 836.60, 1,257.60 and 594.80 is: 894.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.60 : 1,257.60 = 594.80 : x
  2. Step 2: Convert to fraction form
    836.60/1,257.60 = 594.80/x
  3. Step 3: Cross multiply
    836.60x = 1,257.60 × 594.80
  4. Step 4: Simplify right side
    836.60x = 748,020.48
  5. Step 5: Solve for x
    x = 748,020.48/836.60
  6. Step 6: Final answer
    x = 894.12

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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.