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Finding the Fourth Proportional to 1,193.49, 1,790.36 and 327.80

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Solution

The fourth proportional to 1,193.49, 1,790.36 and 327.80 is: 491.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.49 : 1,790.36 = 327.80 : x
  2. Step 2: Convert to fraction form
    1,193.49/1,790.36 = 327.80/x
  3. Step 3: Cross multiply
    1,193.49x = 1,790.36 × 327.80
  4. Step 4: Simplify right side
    1,193.49x = 586,884.07
  5. Step 5: Solve for x
    x = 586,884.07/1,193.49
  6. Step 6: Final answer
    x = 491.74

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1.5x scale

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.