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Finding the Fourth Proportional to 1,574.27, 2,361.39 and 404.27

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Solution

The fourth proportional to 1,574.27, 2,361.39 and 404.27 is: 606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.27 : 2,361.39 = 404.27 : x
  2. Step 2: Convert to fraction form
    1,574.27/2,361.39 = 404.27/x
  3. Step 3: Cross multiply
    1,574.27x = 2,361.39 × 404.27
  4. Step 4: Simplify right side
    1,574.27x = 954,634.67
  5. Step 5: Solve for x
    x = 954,634.67/1,574.27
  6. Step 6: Final answer
    x = 606.40

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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.