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Finding the Fourth Proportional to 893.19, 1,228.98 and 871.59

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Solution

The fourth proportional to 893.19, 1,228.98 and 871.59 is: 1,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.19 : 1,228.98 = 871.59 : x
  2. Step 2: Convert to fraction form
    893.19/1,228.98 = 871.59/x
  3. Step 3: Cross multiply
    893.19x = 1,228.98 × 871.59
  4. Step 4: Simplify right side
    893.19x = 1,071,166.68
  5. Step 5: Solve for x
    x = 1,071,166.68/893.19
  6. Step 6: Final answer
    x = 1,199.26

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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.