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Finding the Fourth Proportional to 1,167.67, 1,751.79 and 345.91

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Solution

The fourth proportional to 1,167.67, 1,751.79 and 345.91 is: 518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.67 : 1,751.79 = 345.91 : x
  2. Step 2: Convert to fraction form
    1,167.67/1,751.79 = 345.91/x
  3. Step 3: Cross multiply
    1,167.67x = 1,751.79 × 345.91
  4. Step 4: Simplify right side
    1,167.67x = 605,961.68
  5. Step 5: Solve for x
    x = 605,961.68/1,167.67
  6. Step 6: Final answer
    x = 518.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.