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Finding the Fourth Proportional to 893.73, 1,348.59 and 859.98

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Solution

The fourth proportional to 893.73, 1,348.59 and 859.98 is: 1,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.73 : 1,348.59 = 859.98 : x
  2. Step 2: Convert to fraction form
    893.73/1,348.59 = 859.98/x
  3. Step 3: Cross multiply
    893.73x = 1,348.59 × 859.98
  4. Step 4: Simplify right side
    893.73x = 1,159,760.43
  5. Step 5: Solve for x
    x = 1,159,760.43/893.73
  6. Step 6: Final answer
    x = 1,297.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.