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Finding the Fourth Proportional to 1,194.49, 1,790.07 and 645.49

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Solution

The fourth proportional to 1,194.49, 1,790.07 and 645.49 is: 967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,194.49 : 1,790.07 = 645.49 : x
  2. Step 2: Convert to fraction form
    1,194.49/1,790.07 = 645.49/x
  3. Step 3: Cross multiply
    1,194.49x = 1,790.07 × 645.49
  4. Step 4: Simplify right side
    1,194.49x = 1,155,472.28
  5. Step 5: Solve for x
    x = 1,155,472.28/1,194.49
  6. Step 6: Final answer
    x = 967.34

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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.