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Finding the Fourth Proportional to 855.76, 1,181.54 and 561.44

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Solution

The fourth proportional to 855.76, 1,181.54 and 561.44 is: 775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.76 : 1,181.54 = 561.44 : x
  2. Step 2: Convert to fraction form
    855.76/1,181.54 = 561.44/x
  3. Step 3: Cross multiply
    855.76x = 1,181.54 × 561.44
  4. Step 4: Simplify right side
    855.76x = 663,363.82
  5. Step 5: Solve for x
    x = 663,363.82/855.76
  6. Step 6: Final answer
    x = 775.18

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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.