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Finding the Fourth Proportional to 1,760.02, 2,640.33 and 786.08

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Solution

The fourth proportional to 1,760.02, 2,640.33 and 786.08 is: 1,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.02 : 2,640.33 = 786.08 : x
  2. Step 2: Convert to fraction form
    1,760.02/2,640.33 = 786.08/x
  3. Step 3: Cross multiply
    1,760.02x = 2,640.33 × 786.08
  4. Step 4: Simplify right side
    1,760.02x = 2,075,517.21
  5. Step 5: Solve for x
    x = 2,075,517.21/1,760.02
  6. Step 6: Final answer
    x = 1,179.26

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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.