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Finding the Fourth Proportional to 1,167.82, 1,750.22 and 473.68

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Solution

The fourth proportional to 1,167.82, 1,750.22 and 473.68 is: 709.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.82 : 1,750.22 = 473.68 : x
  2. Step 2: Convert to fraction form
    1,167.82/1,750.22 = 473.68/x
  3. Step 3: Cross multiply
    1,167.82x = 1,750.22 × 473.68
  4. Step 4: Simplify right side
    1,167.82x = 829,037.47
  5. Step 5: Solve for x
    x = 829,037.47/1,167.82
  6. Step 6: Final answer
    x = 709.90

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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.