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Finding the Fourth Proportional to 1,197.33, 1,793.84 and 683.25

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Solution

The fourth proportional to 1,197.33, 1,793.84 and 683.25 is: 1,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.33 : 1,793.84 = 683.25 : x
  2. Step 2: Convert to fraction form
    1,197.33/1,793.84 = 683.25/x
  3. Step 3: Cross multiply
    1,197.33x = 1,793.84 × 683.25
  4. Step 4: Simplify right side
    1,197.33x = 1,225,637.76
  5. Step 5: Solve for x
    x = 1,225,637.76/1,197.33
  6. Step 6: Final answer
    x = 1,023.64

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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.