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Finding the Fourth Proportional to 1,415.31, 2,122.96 and 490.87

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Solution

The fourth proportional to 1,415.31, 2,122.96 and 490.87 is: 736.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.31 : 2,122.96 = 490.87 : x
  2. Step 2: Convert to fraction form
    1,415.31/2,122.96 = 490.87/x
  3. Step 3: Cross multiply
    1,415.31x = 2,122.96 × 490.87
  4. Step 4: Simplify right side
    1,415.31x = 1,042,086.76
  5. Step 5: Solve for x
    x = 1,042,086.76/1,415.31
  6. Step 6: Final answer
    x = 736.30

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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.