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Finding the Fourth Proportional to 1,226.30, 1,838.37 and 577.82

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Solution

The fourth proportional to 1,226.30, 1,838.37 and 577.82 is: 866.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.30 : 1,838.37 = 577.82 : x
  2. Step 2: Convert to fraction form
    1,226.30/1,838.37 = 577.82/x
  3. Step 3: Cross multiply
    1,226.30x = 1,838.37 × 577.82
  4. Step 4: Simplify right side
    1,226.30x = 1,062,246.95
  5. Step 5: Solve for x
    x = 1,062,246.95/1,226.30
  6. Step 6: Final answer
    x = 866.22

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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.