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Finding the Fourth Proportional to 1,142.34, 1,713.93 and 449.34

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Solution

The fourth proportional to 1,142.34, 1,713.93 and 449.34 is: 674.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.34 : 1,713.93 = 449.34 : x
  2. Step 2: Convert to fraction form
    1,142.34/1,713.93 = 449.34/x
  3. Step 3: Cross multiply
    1,142.34x = 1,713.93 × 449.34
  4. Step 4: Simplify right side
    1,142.34x = 770,137.31
  5. Step 5: Solve for x
    x = 770,137.31/1,142.34
  6. Step 6: Final answer
    x = 674.18

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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.