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Finding the Fourth Proportional to 857.44, 1,285.89 and 549.64

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Solution

The fourth proportional to 857.44, 1,285.89 and 549.64 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,285.89 = 549.64 : x
  2. Step 2: Convert to fraction form
    857.44/1,285.89 = 549.64/x
  3. Step 3: Cross multiply
    857.44x = 1,285.89 × 549.64
  4. Step 4: Simplify right side
    857.44x = 706,776.58
  5. Step 5: Solve for x
    x = 706,776.58/857.44
  6. Step 6: Final answer
    x = 824.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.