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Finding the Fourth Proportional to 1,196.56, 1,794.57 and 648.46

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Solution

The fourth proportional to 1,196.56, 1,794.57 and 648.46 is: 972.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.56 : 1,794.57 = 648.46 : x
  2. Step 2: Convert to fraction form
    1,196.56/1,794.57 = 648.46/x
  3. Step 3: Cross multiply
    1,196.56x = 1,794.57 × 648.46
  4. Step 4: Simplify right side
    1,196.56x = 1,163,706.86
  5. Step 5: Solve for x
    x = 1,163,706.86/1,196.56
  6. Step 6: Final answer
    x = 972.54

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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.