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Finding the Fourth Proportional to 1,142.71, 1,713.41 and 448.57

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Solution

The fourth proportional to 1,142.71, 1,713.41 and 448.57 is: 672.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.71 : 1,713.41 = 448.57 : x
  2. Step 2: Convert to fraction form
    1,142.71/1,713.41 = 448.57/x
  3. Step 3: Cross multiply
    1,142.71x = 1,713.41 × 448.57
  4. Step 4: Simplify right side
    1,142.71x = 768,584.32
  5. Step 5: Solve for x
    x = 768,584.32/1,142.71
  6. Step 6: Final answer
    x = 672.60

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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.