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Finding the Fourth Proportional to 1,574.49, 2,361.70 and 404.48

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Solution

The fourth proportional to 1,574.49, 2,361.70 and 404.48 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.49 : 2,361.70 = 404.48 : x
  2. Step 2: Convert to fraction form
    1,574.49/2,361.70 = 404.48/x
  3. Step 3: Cross multiply
    1,574.49x = 2,361.70 × 404.48
  4. Step 4: Simplify right side
    1,574.49x = 955,260.42
  5. Step 5: Solve for x
    x = 955,260.42/1,574.49
  6. Step 6: Final answer
    x = 606.71

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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.