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Finding the Fourth Proportional to 857.44, 1,284.54 and 533.44

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Solution

The fourth proportional to 857.44, 1,284.54 and 533.44 is: 799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,284.54 = 533.44 : x
  2. Step 2: Convert to fraction form
    857.44/1,284.54 = 533.44/x
  3. Step 3: Cross multiply
    857.44x = 1,284.54 × 533.44
  4. Step 4: Simplify right side
    857.44x = 685,225.02
  5. Step 5: Solve for x
    x = 685,225.02/857.44
  6. Step 6: Final answer
    x = 799.15

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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.