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Finding the Fourth Proportional to 1,049.55, 1,574.11 and 400.15

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Solution

The fourth proportional to 1,049.55, 1,574.11 and 400.15 is: 600.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.55 : 1,574.11 = 400.15 : x
  2. Step 2: Convert to fraction form
    1,049.55/1,574.11 = 400.15/x
  3. Step 3: Cross multiply
    1,049.55x = 1,574.11 × 400.15
  4. Step 4: Simplify right side
    1,049.55x = 629,880.12
  5. Step 5: Solve for x
    x = 629,880.12/1,049.55
  6. Step 6: Final answer
    x = 600.14

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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.