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Finding the Fourth Proportional to 1,166.67, 1,748.79 and 972.27

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Solution

The fourth proportional to 1,166.67, 1,748.79 and 972.27 is: 1,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.67 : 1,748.79 = 972.27 : x
  2. Step 2: Convert to fraction form
    1,166.67/1,748.79 = 972.27/x
  3. Step 3: Cross multiply
    1,166.67x = 1,748.79 × 972.27
  4. Step 4: Simplify right side
    1,166.67x = 1,700,296.05
  5. Step 5: Solve for x
    x = 1,700,296.05/1,166.67
  6. Step 6: Final answer
    x = 1,457.39

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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.