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Finding the Fourth Proportional to 1,169.16, 1,614.10 and 776.72

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Solution

The fourth proportional to 1,169.16, 1,614.10 and 776.72 is: 1,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.16 : 1,614.10 = 776.72 : x
  2. Step 2: Convert to fraction form
    1,169.16/1,614.10 = 776.72/x
  3. Step 3: Cross multiply
    1,169.16x = 1,614.10 × 776.72
  4. Step 4: Simplify right side
    1,169.16x = 1,253,703.75
  5. Step 5: Solve for x
    x = 1,253,703.75/1,169.16
  6. Step 6: Final answer
    x = 1,072.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.