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Finding the Fourth Proportional to 857.88, 1,285.74 and 472.68

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Solution

The fourth proportional to 857.88, 1,285.74 and 472.68 is: 708.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.88 : 1,285.74 = 472.68 : x
  2. Step 2: Convert to fraction form
    857.88/1,285.74 = 472.68/x
  3. Step 3: Cross multiply
    857.88x = 1,285.74 × 472.68
  4. Step 4: Simplify right side
    857.88x = 607,743.58
  5. Step 5: Solve for x
    x = 607,743.58/857.88
  6. Step 6: Final answer
    x = 708.42

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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.