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Finding the Fourth Proportional to 1,167.54, 1,751.67 and 345.81

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Solution

The fourth proportional to 1,167.54, 1,751.67 and 345.81 is: 518.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.54 : 1,751.67 = 345.81 : x
  2. Step 2: Convert to fraction form
    1,167.54/1,751.67 = 345.81/x
  3. Step 3: Cross multiply
    1,167.54x = 1,751.67 × 345.81
  4. Step 4: Simplify right side
    1,167.54x = 605,745.00
  5. Step 5: Solve for x
    x = 605,745.00/1,167.54
  6. Step 6: Final answer
    x = 518.82

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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.