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Finding the Fourth Proportional to 1,571.56, 2,356.64 and 791.07

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Solution

The fourth proportional to 1,571.56, 2,356.64 and 791.07 is: 1,186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.56 : 2,356.64 = 791.07 : x
  2. Step 2: Convert to fraction form
    1,571.56/2,356.64 = 791.07/x
  3. Step 3: Cross multiply
    1,571.56x = 2,356.64 × 791.07
  4. Step 4: Simplify right side
    1,571.56x = 1,864,267.20
  5. Step 5: Solve for x
    x = 1,864,267.20/1,571.56
  6. Step 6: Final answer
    x = 1,186.26

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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.