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Finding the Fourth Proportional to 874.82, 1,312.17 and 289.76

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Solution

The fourth proportional to 874.82, 1,312.17 and 289.76 is: 434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.82 : 1,312.17 = 289.76 : x
  2. Step 2: Convert to fraction form
    874.82/1,312.17 = 289.76/x
  3. Step 3: Cross multiply
    874.82x = 1,312.17 × 289.76
  4. Step 4: Simplify right side
    874.82x = 380,217.66
  5. Step 5: Solve for x
    x = 380,217.66/874.82
  6. Step 6: Final answer
    x = 434.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.