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Finding the Fourth Proportional to 1,172.67, 1,757.84 and 652.91

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Solution

The fourth proportional to 1,172.67, 1,757.84 and 652.91 is: 978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,172.67 : 1,757.84 = 652.91 : x
  2. Step 2: Convert to fraction form
    1,172.67/1,757.84 = 652.91/x
  3. Step 3: Cross multiply
    1,172.67x = 1,757.84 × 652.91
  4. Step 4: Simplify right side
    1,172.67x = 1,147,699.26
  5. Step 5: Solve for x
    x = 1,147,699.26/1,172.67
  6. Step 6: Final answer
    x = 978.71

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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.