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Finding the Fourth Proportional to 1,193.40, 1,782.54 and 949.19

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Solution

The fourth proportional to 1,193.40, 1,782.54 and 949.19 is: 1,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.40 : 1,782.54 = 949.19 : x
  2. Step 2: Convert to fraction form
    1,193.40/1,782.54 = 949.19/x
  3. Step 3: Cross multiply
    1,193.40x = 1,782.54 × 949.19
  4. Step 4: Simplify right side
    1,193.40x = 1,691,960.23
  5. Step 5: Solve for x
    x = 1,691,960.23/1,193.40
  6. Step 6: Final answer
    x = 1,417.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.