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Finding the Fourth Proportional to 1,195.05, 1,793.65 and 502.23

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Solution

The fourth proportional to 1,195.05, 1,793.65 and 502.23 is: 753.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.05 : 1,793.65 = 502.23 : x
  2. Step 2: Convert to fraction form
    1,195.05/1,793.65 = 502.23/x
  3. Step 3: Cross multiply
    1,195.05x = 1,793.65 × 502.23
  4. Step 4: Simplify right side
    1,195.05x = 900,820.98
  5. Step 5: Solve for x
    x = 900,820.98/1,195.05
  6. Step 6: Final answer
    x = 753.80

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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.