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Finding the Fourth Proportional to 1,167.26, 1,750.59 and 345.33

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Solution

The fourth proportional to 1,167.26, 1,750.59 and 345.33 is: 517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.26 : 1,750.59 = 345.33 : x
  2. Step 2: Convert to fraction form
    1,167.26/1,750.59 = 345.33/x
  3. Step 3: Cross multiply
    1,167.26x = 1,750.59 × 345.33
  4. Step 4: Simplify right side
    1,167.26x = 604,531.24
  5. Step 5: Solve for x
    x = 604,531.24/1,167.26
  6. Step 6: Final answer
    x = 517.91

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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.