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Finding the Fourth Proportional to 1,574.03, 2,361.17 and 419.75

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Solution

The fourth proportional to 1,574.03, 2,361.17 and 419.75 is: 629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.03 : 2,361.17 = 419.75 : x
  2. Step 2: Convert to fraction form
    1,574.03/2,361.17 = 419.75/x
  3. Step 3: Cross multiply
    1,574.03x = 2,361.17 × 419.75
  4. Step 4: Simplify right side
    1,574.03x = 991,101.11
  5. Step 5: Solve for x
    x = 991,101.11/1,574.03
  6. Step 6: Final answer
    x = 629.66

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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.