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Finding the Fourth Proportional to 1,574.34, 2,361.33 and 420

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Solution

The fourth proportional to 1,574.34, 2,361.33 and 420 is: 629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.34 : 2,361.33 = 420 : x
  2. Step 2: Convert to fraction form
    1,574.34/2,361.33 = 420/x
  3. Step 3: Cross multiply
    1,574.34x = 2,361.33 × 420
  4. Step 4: Simplify right side
    1,574.34x = 991,758.60
  5. Step 5: Solve for x
    x = 991,758.60/1,574.34
  6. Step 6: Final answer
    x = 629.95

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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.