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Finding the Fourth Proportional to 857.25, 1,283.40 and 582.66

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Solution

The fourth proportional to 857.25, 1,283.40 and 582.66 is: 872.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.25 : 1,283.40 = 582.66 : x
  2. Step 2: Convert to fraction form
    857.25/1,283.40 = 582.66/x
  3. Step 3: Cross multiply
    857.25x = 1,283.40 × 582.66
  4. Step 4: Simplify right side
    857.25x = 747,785.84
  5. Step 5: Solve for x
    x = 747,785.84/857.25
  6. Step 6: Final answer
    x = 872.31

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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.