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Finding the Fourth Proportional to 857.06, 1,285.60 and 848.56

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Solution

The fourth proportional to 857.06, 1,285.60 and 848.56 is: 1,272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.06 : 1,285.60 = 848.56 : x
  2. Step 2: Convert to fraction form
    857.06/1,285.60 = 848.56/x
  3. Step 3: Cross multiply
    857.06x = 1,285.60 × 848.56
  4. Step 4: Simplify right side
    857.06x = 1,090,908.74
  5. Step 5: Solve for x
    x = 1,090,908.74/857.06
  6. Step 6: Final answer
    x = 1,272.85

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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.