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Finding the Fourth Proportional to 1,197.06, 1,794.89 and 465.78

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Solution

The fourth proportional to 1,197.06, 1,794.89 and 465.78 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.06 : 1,794.89 = 465.78 : x
  2. Step 2: Convert to fraction form
    1,197.06/1,794.89 = 465.78/x
  3. Step 3: Cross multiply
    1,197.06x = 1,794.89 × 465.78
  4. Step 4: Simplify right side
    1,197.06x = 836,023.86
  5. Step 5: Solve for x
    x = 836,023.86/1,197.06
  6. Step 6: Final answer
    x = 698.40

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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.