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Finding the Fourth Proportional to 855.92, 1,181.23 and 482.77

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Solution

The fourth proportional to 855.92, 1,181.23 and 482.77 is: 666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.92 : 1,181.23 = 482.77 : x
  2. Step 2: Convert to fraction form
    855.92/1,181.23 = 482.77/x
  3. Step 3: Cross multiply
    855.92x = 1,181.23 × 482.77
  4. Step 4: Simplify right side
    855.92x = 570,258.25
  5. Step 5: Solve for x
    x = 570,258.25/855.92
  6. Step 6: Final answer
    x = 666.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.