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Finding the Fourth Proportional to 1,142.62, 1,713.92 and 412.19

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Solution

The fourth proportional to 1,142.62, 1,713.92 and 412.19 is: 618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.62 : 1,713.92 = 412.19 : x
  2. Step 2: Convert to fraction form
    1,142.62/1,713.92 = 412.19/x
  3. Step 3: Cross multiply
    1,142.62x = 1,713.92 × 412.19
  4. Step 4: Simplify right side
    1,142.62x = 706,460.68
  5. Step 5: Solve for x
    x = 706,460.68/1,142.62
  6. Step 6: Final answer
    x = 618.28

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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.