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Finding the Fourth Proportional to 1,474.07, 2,209.70 and 548.99

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Solution

The fourth proportional to 1,474.07, 2,209.70 and 548.99 is: 822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.07 : 2,209.70 = 548.99 : x
  2. Step 2: Convert to fraction form
    1,474.07/2,209.70 = 548.99/x
  3. Step 3: Cross multiply
    1,474.07x = 2,209.70 × 548.99
  4. Step 4: Simplify right side
    1,474.07x = 1,213,100.46
  5. Step 5: Solve for x
    x = 1,213,100.46/1,474.07
  6. Step 6: Final answer
    x = 822.96

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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.