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Finding the Fourth Proportional to 1,195.35, 1,793.67 and 501.87

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Solution

The fourth proportional to 1,195.35, 1,793.67 and 501.87 is: 753.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.35 : 1,793.67 = 501.87 : x
  2. Step 2: Convert to fraction form
    1,195.35/1,793.67 = 501.87/x
  3. Step 3: Cross multiply
    1,195.35x = 1,793.67 × 501.87
  4. Step 4: Simplify right side
    1,195.35x = 900,189.16
  5. Step 5: Solve for x
    x = 900,189.16/1,195.35
  6. Step 6: Final answer
    x = 753.08

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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.