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Finding the Fourth Proportional to 1,049.38, 1,574.08 and 400.14

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Solution

The fourth proportional to 1,049.38, 1,574.08 and 400.14 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.38 : 1,574.08 = 400.14 : x
  2. Step 2: Convert to fraction form
    1,049.38/1,574.08 = 400.14/x
  3. Step 3: Cross multiply
    1,049.38x = 1,574.08 × 400.14
  4. Step 4: Simplify right side
    1,049.38x = 629,852.37
  5. Step 5: Solve for x
    x = 629,852.37/1,049.38
  6. Step 6: Final answer
    x = 600.21

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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.