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Finding the Fourth Proportional to 893.14, 1,341.77 and 856.24

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Solution

The fourth proportional to 893.14, 1,341.77 and 856.24 is: 1,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.14 : 1,341.77 = 856.24 : x
  2. Step 2: Convert to fraction form
    893.14/1,341.77 = 856.24/x
  3. Step 3: Cross multiply
    893.14x = 1,341.77 × 856.24
  4. Step 4: Simplify right side
    893.14x = 1,148,870.44
  5. Step 5: Solve for x
    x = 1,148,870.44/893.14
  6. Step 6: Final answer
    x = 1,286.33

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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.