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Finding the Fourth Proportional to 941.82, 1,409.54 and 576.87

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Solution

The fourth proportional to 941.82, 1,409.54 and 576.87 is: 863.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.82 : 1,409.54 = 576.87 : x
  2. Step 2: Convert to fraction form
    941.82/1,409.54 = 576.87/x
  3. Step 3: Cross multiply
    941.82x = 1,409.54 × 576.87
  4. Step 4: Simplify right side
    941.82x = 813,114.29
  5. Step 5: Solve for x
    x = 813,114.29/941.82
  6. Step 6: Final answer
    x = 863.34

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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.