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Finding the Fourth Proportional to 855.99, 1,181.26 and 463.02

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Solution

The fourth proportional to 855.99, 1,181.26 and 463.02 is: 638.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.99 : 1,181.26 = 463.02 : x
  2. Step 2: Convert to fraction form
    855.99/1,181.26 = 463.02/x
  3. Step 3: Cross multiply
    855.99x = 1,181.26 × 463.02
  4. Step 4: Simplify right side
    855.99x = 546,943.15
  5. Step 5: Solve for x
    x = 546,943.15/855.99
  6. Step 6: Final answer
    x = 638.96

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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.