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Finding the Fourth Proportional to 1,063.88, 1,595.82 and 942.92

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Solution

The fourth proportional to 1,063.88, 1,595.82 and 942.92 is: 1,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.88 : 1,595.82 = 942.92 : x
  2. Step 2: Convert to fraction form
    1,063.88/1,595.82 = 942.92/x
  3. Step 3: Cross multiply
    1,063.88x = 1,595.82 × 942.92
  4. Step 4: Simplify right side
    1,063.88x = 1,504,730.59
  5. Step 5: Solve for x
    x = 1,504,730.59/1,063.88
  6. Step 6: Final answer
    x = 1,414.38

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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.