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Finding the Fourth Proportional to 793.56, 1,191.42 and 428.52

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Solution

The fourth proportional to 793.56, 1,191.42 and 428.52 is: 643.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.56 : 1,191.42 = 428.52 : x
  2. Step 2: Convert to fraction form
    793.56/1,191.42 = 428.52/x
  3. Step 3: Cross multiply
    793.56x = 1,191.42 × 428.52
  4. Step 4: Simplify right side
    793.56x = 510,547.30
  5. Step 5: Solve for x
    x = 510,547.30/793.56
  6. Step 6: Final answer
    x = 643.36

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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.