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Finding the Fourth Proportional to 857.44, 1,284.63 and 394.23

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Solution

The fourth proportional to 857.44, 1,284.63 and 394.23 is: 590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.44 : 1,284.63 = 394.23 : x
  2. Step 2: Convert to fraction form
    857.44/1,284.63 = 394.23/x
  3. Step 3: Cross multiply
    857.44x = 1,284.63 × 394.23
  4. Step 4: Simplify right side
    857.44x = 506,446.35
  5. Step 5: Solve for x
    x = 506,446.35/857.44
  6. Step 6: Final answer
    x = 590.65

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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.