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Finding the Fourth Proportional to 1,281.71, 1,922.04 and 490.95

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Solution

The fourth proportional to 1,281.71, 1,922.04 and 490.95 is: 736.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.71 : 1,922.04 = 490.95 : x
  2. Step 2: Convert to fraction form
    1,281.71/1,922.04 = 490.95/x
  3. Step 3: Cross multiply
    1,281.71x = 1,922.04 × 490.95
  4. Step 4: Simplify right side
    1,281.71x = 943,625.54
  5. Step 5: Solve for x
    x = 943,625.54/1,281.71
  6. Step 6: Final answer
    x = 736.22

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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.