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Finding the Fourth Proportional to 1,195.67, 1,793.21 and 373.93

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Solution

The fourth proportional to 1,195.67, 1,793.21 and 373.93 is: 560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.67 : 1,793.21 = 373.93 : x
  2. Step 2: Convert to fraction form
    1,195.67/1,793.21 = 373.93/x
  3. Step 3: Cross multiply
    1,195.67x = 1,793.21 × 373.93
  4. Step 4: Simplify right side
    1,195.67x = 670,528.66
  5. Step 5: Solve for x
    x = 670,528.66/1,195.67
  6. Step 6: Final answer
    x = 560.80

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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.