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Finding the Fourth Proportional to 941.77, 1,409.68 and 842.70

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Solution

The fourth proportional to 941.77, 1,409.68 and 842.70 is: 1,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.77 : 1,409.68 = 842.70 : x
  2. Step 2: Convert to fraction form
    941.77/1,409.68 = 842.70/x
  3. Step 3: Cross multiply
    941.77x = 1,409.68 × 842.70
  4. Step 4: Simplify right side
    941.77x = 1,187,943.68
  5. Step 5: Solve for x
    x = 1,187,943.68/941.77
  6. Step 6: Final answer
    x = 1,261.39

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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.