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Finding the Fourth Proportional to 855.54, 1,181.49 and 807.06

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Solution

The fourth proportional to 855.54, 1,181.49 and 807.06 is: 1,114.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.54 : 1,181.49 = 807.06 : x
  2. Step 2: Convert to fraction form
    855.54/1,181.49 = 807.06/x
  3. Step 3: Cross multiply
    855.54x = 1,181.49 × 807.06
  4. Step 4: Simplify right side
    855.54x = 953,533.32
  5. Step 5: Solve for x
    x = 953,533.32/855.54
  6. Step 6: Final answer
    x = 1,114.54

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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.