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Finding the Fourth Proportional to 1,049.39, 1,574.31 and 400.13

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Solution

The fourth proportional to 1,049.39, 1,574.31 and 400.13 is: 600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.39 : 1,574.31 = 400.13 : x
  2. Step 2: Convert to fraction form
    1,049.39/1,574.31 = 400.13/x
  3. Step 3: Cross multiply
    1,049.39x = 1,574.31 × 400.13
  4. Step 4: Simplify right side
    1,049.39x = 629,920.79
  5. Step 5: Solve for x
    x = 629,920.79/1,049.39
  6. Step 6: Final answer
    x = 600.28

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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.