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Finding the Fourth Proportional to 857.13, 1,285.19 and 486.35

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Solution

The fourth proportional to 857.13, 1,285.19 and 486.35 is: 729.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.13 : 1,285.19 = 486.35 : x
  2. Step 2: Convert to fraction form
    857.13/1,285.19 = 486.35/x
  3. Step 3: Cross multiply
    857.13x = 1,285.19 × 486.35
  4. Step 4: Simplify right side
    857.13x = 625,043.30
  5. Step 5: Solve for x
    x = 625,043.30/857.13
  6. Step 6: Final answer
    x = 729.23

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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.