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Finding the Fourth Proportional to 1,049.81, 1,574.94 and 400.73

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Solution

The fourth proportional to 1,049.81, 1,574.94 and 400.73 is: 601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.81 : 1,574.94 = 400.73 : x
  2. Step 2: Convert to fraction form
    1,049.81/1,574.94 = 400.73/x
  3. Step 3: Cross multiply
    1,049.81x = 1,574.94 × 400.73
  4. Step 4: Simplify right side
    1,049.81x = 631,125.71
  5. Step 5: Solve for x
    x = 631,125.71/1,049.81
  6. Step 6: Final answer
    x = 601.18

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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.