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Finding the Fourth Proportional to 1,574.41, 2,361.78 and 601.33

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Solution

The fourth proportional to 1,574.41, 2,361.78 and 601.33 is: 902.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.41 : 2,361.78 = 601.33 : x
  2. Step 2: Convert to fraction form
    1,574.41/2,361.78 = 601.33/x
  3. Step 3: Cross multiply
    1,574.41x = 2,361.78 × 601.33
  4. Step 4: Simplify right side
    1,574.41x = 1,420,206.16
  5. Step 5: Solve for x
    x = 1,420,206.16/1,574.41
  6. Step 6: Final answer
    x = 902.06

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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.