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Finding the Fourth Proportional to 1,167.53, 1,751.61 and 345.83

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Solution

The fourth proportional to 1,167.53, 1,751.61 and 345.83 is: 518.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.53 : 1,751.61 = 345.83 : x
  2. Step 2: Convert to fraction form
    1,167.53/1,751.61 = 345.83/x
  3. Step 3: Cross multiply
    1,167.53x = 1,751.61 × 345.83
  4. Step 4: Simplify right side
    1,167.53x = 605,759.29
  5. Step 5: Solve for x
    x = 605,759.29/1,167.53
  6. Step 6: Final answer
    x = 518.84

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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.