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Finding the Fourth Proportional to 1,865.65, 2,798.54 and 769.27

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Solution

The fourth proportional to 1,865.65, 2,798.54 and 769.27 is: 1,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865.65 : 2,798.54 = 769.27 : x
  2. Step 2: Convert to fraction form
    1,865.65/2,798.54 = 769.27/x
  3. Step 3: Cross multiply
    1,865.65x = 2,798.54 × 769.27
  4. Step 4: Simplify right side
    1,865.65x = 2,152,832.87
  5. Step 5: Solve for x
    x = 2,152,832.87/1,865.65
  6. Step 6: Final answer
    x = 1,153.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.