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Finding the Fourth Proportional to 1,193.70, 1,650.06 and 996.06

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Solution

The fourth proportional to 1,193.70, 1,650.06 and 996.06 is: 1,376.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.70 : 1,650.06 = 996.06 : x
  2. Step 2: Convert to fraction form
    1,193.70/1,650.06 = 996.06/x
  3. Step 3: Cross multiply
    1,193.70x = 1,650.06 × 996.06
  4. Step 4: Simplify right side
    1,193.70x = 1,643,558.76
  5. Step 5: Solve for x
    x = 1,643,558.76/1,193.70
  6. Step 6: Final answer
    x = 1,376.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.