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Finding the Fourth Proportional to 1,101.06, 1,516.86 and 768.90

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Solution

The fourth proportional to 1,101.06, 1,516.86 and 768.90 is: 1,059.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.06 : 1,516.86 = 768.90 : x
  2. Step 2: Convert to fraction form
    1,101.06/1,516.86 = 768.90/x
  3. Step 3: Cross multiply
    1,101.06x = 1,516.86 × 768.90
  4. Step 4: Simplify right side
    1,101.06x = 1,166,313.65
  5. Step 5: Solve for x
    x = 1,166,313.65/1,101.06
  6. Step 6: Final answer
    x = 1,059.26

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Why These Related Problems?

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