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Finding the Fourth Proportional to 1,518.40, 2,277.71 and 422.85

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Solution

The fourth proportional to 1,518.40, 2,277.71 and 422.85 is: 634.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.40 : 2,277.71 = 422.85 : x
  2. Step 2: Convert to fraction form
    1,518.40/2,277.71 = 422.85/x
  3. Step 3: Cross multiply
    1,518.40x = 2,277.71 × 422.85
  4. Step 4: Simplify right side
    1,518.40x = 963,129.67
  5. Step 5: Solve for x
    x = 963,129.67/1,518.40
  6. Step 6: Final answer
    x = 634.31

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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.