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Finding the Fourth Proportional to 1,192.94, 1,646.82 and 795.26

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Solution

The fourth proportional to 1,192.94, 1,646.82 and 795.26 is: 1,097.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.94 : 1,646.82 = 795.26 : x
  2. Step 2: Convert to fraction form
    1,192.94/1,646.82 = 795.26/x
  3. Step 3: Cross multiply
    1,192.94x = 1,646.82 × 795.26
  4. Step 4: Simplify right side
    1,192.94x = 1,309,641.84
  5. Step 5: Solve for x
    x = 1,309,641.84/1,192.94
  6. Step 6: Final answer
    x = 1,097.83

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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.