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Finding the Fourth Proportional to 855.98, 1,181.52 and 741.92

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Solution

The fourth proportional to 855.98, 1,181.52 and 741.92 is: 1,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.98 : 1,181.52 = 741.92 : x
  2. Step 2: Convert to fraction form
    855.98/1,181.52 = 741.92/x
  3. Step 3: Cross multiply
    855.98x = 1,181.52 × 741.92
  4. Step 4: Simplify right side
    855.98x = 876,593.32
  5. Step 5: Solve for x
    x = 876,593.32/855.98
  6. Step 6: Final answer
    x = 1,024.08

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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.