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Finding the Fourth Proportional to 1,236.83, 1,855.86 and 578.76

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Solution

The fourth proportional to 1,236.83, 1,855.86 and 578.76 is: 868.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.83 : 1,855.86 = 578.76 : x
  2. Step 2: Convert to fraction form
    1,236.83/1,855.86 = 578.76/x
  3. Step 3: Cross multiply
    1,236.83x = 1,855.86 × 578.76
  4. Step 4: Simplify right side
    1,236.83x = 1,074,097.53
  5. Step 5: Solve for x
    x = 1,074,097.53/1,236.83
  6. Step 6: Final answer
    x = 868.43

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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.