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Finding the Fourth Proportional to 1,474.92, 2,210.78 and 743.08

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Solution

The fourth proportional to 1,474.92, 2,210.78 and 743.08 is: 1,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.92 : 2,210.78 = 743.08 : x
  2. Step 2: Convert to fraction form
    1,474.92/2,210.78 = 743.08/x
  3. Step 3: Cross multiply
    1,474.92x = 2,210.78 × 743.08
  4. Step 4: Simplify right side
    1,474.92x = 1,642,786.40
  5. Step 5: Solve for x
    x = 1,642,786.40/1,474.92
  6. Step 6: Final answer
    x = 1,113.81

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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.