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Finding the Fourth Proportional to 897.81, 1,239.11 and 842.22

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Solution

The fourth proportional to 897.81, 1,239.11 and 842.22 is: 1,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.81 : 1,239.11 = 842.22 : x
  2. Step 2: Convert to fraction form
    897.81/1,239.11 = 842.22/x
  3. Step 3: Cross multiply
    897.81x = 1,239.11 × 842.22
  4. Step 4: Simplify right side
    897.81x = 1,043,603.22
  5. Step 5: Solve for x
    x = 1,043,603.22/897.81
  6. Step 6: Final answer
    x = 1,162.39

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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.