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Finding the Fourth Proportional to 1,355.22, 1,868.34 and 857.61

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Solution

The fourth proportional to 1,355.22, 1,868.34 and 857.61 is: 1,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.22 : 1,868.34 = 857.61 : x
  2. Step 2: Convert to fraction form
    1,355.22/1,868.34 = 857.61/x
  3. Step 3: Cross multiply
    1,355.22x = 1,868.34 × 857.61
  4. Step 4: Simplify right side
    1,355.22x = 1,602,297.73
  5. Step 5: Solve for x
    x = 1,602,297.73/1,355.22
  6. Step 6: Final answer
    x = 1,182.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.