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Finding the Fourth Proportional to 1,507.97, 2,261.72 and 412.42

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Solution

The fourth proportional to 1,507.97, 2,261.72 and 412.42 is: 618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.97 : 2,261.72 = 412.42 : x
  2. Step 2: Convert to fraction form
    1,507.97/2,261.72 = 412.42/x
  3. Step 3: Cross multiply
    1,507.97x = 2,261.72 × 412.42
  4. Step 4: Simplify right side
    1,507.97x = 932,778.56
  5. Step 5: Solve for x
    x = 932,778.56/1,507.97
  6. Step 6: Final answer
    x = 618.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.