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Finding the Fourth Proportional to 1,171.82, 1,756.21 and 477.68

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Solution

The fourth proportional to 1,171.82, 1,756.21 and 477.68 is: 715.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.82 : 1,756.21 = 477.68 : x
  2. Step 2: Convert to fraction form
    1,171.82/1,756.21 = 477.68/x
  3. Step 3: Cross multiply
    1,171.82x = 1,756.21 × 477.68
  4. Step 4: Simplify right side
    1,171.82x = 838,906.39
  5. Step 5: Solve for x
    x = 838,906.39/1,171.82
  6. Step 6: Final answer
    x = 715.90

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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.