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Finding the Fourth Proportional to 1,193.92, 1,783.72 and 1,153

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Solution

The fourth proportional to 1,193.92, 1,783.72 and 1,153 is: 1,722.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.92 : 1,783.72 = 1,153 : x
  2. Step 2: Convert to fraction form
    1,193.92/1,783.72 = 1,153/x
  3. Step 3: Cross multiply
    1,193.92x = 1,783.72 × 1,153
  4. Step 4: Simplify right side
    1,193.92x = 2,056,629.16
  5. Step 5: Solve for x
    x = 2,056,629.16/1,193.92
  6. Step 6: Final answer
    x = 1,722.59

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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.