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Finding the Fourth Proportional to 1,142.73, 1,713.04 and 412.13

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Solution

The fourth proportional to 1,142.73, 1,713.04 and 412.13 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.73 : 1,713.04 = 412.13 : x
  2. Step 2: Convert to fraction form
    1,142.73/1,713.04 = 412.13/x
  3. Step 3: Cross multiply
    1,142.73x = 1,713.04 × 412.13
  4. Step 4: Simplify right side
    1,142.73x = 705,998.43
  5. Step 5: Solve for x
    x = 705,998.43/1,142.73
  6. Step 6: Final answer
    x = 617.82

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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.