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Finding the Fourth Proportional to 876.24, 1,313.82 and 443.70

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Solution

The fourth proportional to 876.24, 1,313.82 and 443.70 is: 665.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.24 : 1,313.82 = 443.70 : x
  2. Step 2: Convert to fraction form
    876.24/1,313.82 = 443.70/x
  3. Step 3: Cross multiply
    876.24x = 1,313.82 × 443.70
  4. Step 4: Simplify right side
    876.24x = 582,941.93
  5. Step 5: Solve for x
    x = 582,941.93/876.24
  6. Step 6: Final answer
    x = 665.28

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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.