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Finding the Fourth Proportional to 1,140.68, 1,711.81 and 447.35

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Solution

The fourth proportional to 1,140.68, 1,711.81 and 447.35 is: 671.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.68 : 1,711.81 = 447.35 : x
  2. Step 2: Convert to fraction form
    1,140.68/1,711.81 = 447.35/x
  3. Step 3: Cross multiply
    1,140.68x = 1,711.81 × 447.35
  4. Step 4: Simplify right side
    1,140.68x = 765,773.76
  5. Step 5: Solve for x
    x = 765,773.76/1,140.68
  6. Step 6: Final answer
    x = 671.33

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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.