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Finding the Fourth Proportional to 843.77, 1,265.37 and 296.15

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Solution

The fourth proportional to 843.77, 1,265.37 and 296.15 is: 444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,265.37 = 296.15 : x
  2. Step 2: Convert to fraction form
    843.77/1,265.37 = 296.15/x
  3. Step 3: Cross multiply
    843.77x = 1,265.37 × 296.15
  4. Step 4: Simplify right side
    843.77x = 374,733.00
  5. Step 5: Solve for x
    x = 374,733.00/843.77
  6. Step 6: Final answer
    x = 444.12

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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.