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Finding the Fourth Proportional to 1,049.42, 1,574.40 and 399.80

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Solution

The fourth proportional to 1,049.42, 1,574.40 and 399.80 is: 599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.42 : 1,574.40 = 399.80 : x
  2. Step 2: Convert to fraction form
    1,049.42/1,574.40 = 399.80/x
  3. Step 3: Cross multiply
    1,049.42x = 1,574.40 × 399.80
  4. Step 4: Simplify right side
    1,049.42x = 629,437.25
  5. Step 5: Solve for x
    x = 629,437.25/1,049.42
  6. Step 6: Final answer
    x = 599.80

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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.