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Finding the Fourth Proportional to 1,173.89, 1,761.06 and 352.14

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Solution

The fourth proportional to 1,173.89, 1,761.06 and 352.14 is: 528.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.89 : 1,761.06 = 352.14 : x
  2. Step 2: Convert to fraction form
    1,173.89/1,761.06 = 352.14/x
  3. Step 3: Cross multiply
    1,173.89x = 1,761.06 × 352.14
  4. Step 4: Simplify right side
    1,173.89x = 620,139.67
  5. Step 5: Solve for x
    x = 620,139.67/1,173.89
  6. Step 6: Final answer
    x = 528.28

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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.