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Finding the Fourth Proportional to 1,195.32, 1,793.69 and 501.95

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Solution

The fourth proportional to 1,195.32, 1,793.69 and 501.95 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.32 : 1,793.69 = 501.95 : x
  2. Step 2: Convert to fraction form
    1,195.32/1,793.69 = 501.95/x
  3. Step 3: Cross multiply
    1,195.32x = 1,793.69 × 501.95
  4. Step 4: Simplify right side
    1,195.32x = 900,331.22
  5. Step 5: Solve for x
    x = 900,331.22/1,195.32
  6. Step 6: Final answer
    x = 753.21

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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.