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Finding the Fourth Proportional to 1,791.52, 2,688.32 and 696.64

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Solution

The fourth proportional to 1,791.52, 2,688.32 and 696.64 is: 1,045.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.52 : 2,688.32 = 696.64 : x
  2. Step 2: Convert to fraction form
    1,791.52/2,688.32 = 696.64/x
  3. Step 3: Cross multiply
    1,791.52x = 2,688.32 × 696.64
  4. Step 4: Simplify right side
    1,791.52x = 1,872,791.24
  5. Step 5: Solve for x
    x = 1,872,791.24/1,791.52
  6. Step 6: Final answer
    x = 1,045.36

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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.