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Finding the Fourth Proportional to 1,176.72, 1,756.48 and 1,091.06

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Solution

The fourth proportional to 1,176.72, 1,756.48 and 1,091.06 is: 1,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.72 : 1,756.48 = 1,091.06 : x
  2. Step 2: Convert to fraction form
    1,176.72/1,756.48 = 1,091.06/x
  3. Step 3: Cross multiply
    1,176.72x = 1,756.48 × 1,091.06
  4. Step 4: Simplify right side
    1,176.72x = 1,916,425.07
  5. Step 5: Solve for x
    x = 1,916,425.07/1,176.72
  6. Step 6: Final answer
    x = 1,628.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.