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Finding the Fourth Proportional to 1,176.99, 1,767.37 and 971.11

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Solution

The fourth proportional to 1,176.99, 1,767.37 and 971.11 is: 1,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.99 : 1,767.37 = 971.11 : x
  2. Step 2: Convert to fraction form
    1,176.99/1,767.37 = 971.11/x
  3. Step 3: Cross multiply
    1,176.99x = 1,767.37 × 971.11
  4. Step 4: Simplify right side
    1,176.99x = 1,716,310.68
  5. Step 5: Solve for x
    x = 1,716,310.68/1,176.99
  6. Step 6: Final answer
    x = 1,458.22

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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.