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Finding the Fourth Proportional to 1,216.67, 1,824.98 and 383.76

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Solution

The fourth proportional to 1,216.67, 1,824.98 and 383.76 is: 575.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.67 : 1,824.98 = 383.76 : x
  2. Step 2: Convert to fraction form
    1,216.67/1,824.98 = 383.76/x
  3. Step 3: Cross multiply
    1,216.67x = 1,824.98 × 383.76
  4. Step 4: Simplify right side
    1,216.67x = 700,352.41
  5. Step 5: Solve for x
    x = 700,352.41/1,216.67
  6. Step 6: Final answer
    x = 575.63

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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.