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Finding the Fourth Proportional to 941.70, 1,409.76 and 699.30

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Solution

The fourth proportional to 941.70, 1,409.76 and 699.30 is: 1,046.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.70 : 1,409.76 = 699.30 : x
  2. Step 2: Convert to fraction form
    941.70/1,409.76 = 699.30/x
  3. Step 3: Cross multiply
    941.70x = 1,409.76 × 699.30
  4. Step 4: Simplify right side
    941.70x = 985,845.17
  5. Step 5: Solve for x
    x = 985,845.17/941.70
  6. Step 6: Final answer
    x = 1,046.88

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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.