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Finding the Fourth Proportional to 1,207.33, 1,810.99 and 793.47

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Solution

The fourth proportional to 1,207.33, 1,810.99 and 793.47 is: 1,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.33 : 1,810.99 = 793.47 : x
  2. Step 2: Convert to fraction form
    1,207.33/1,810.99 = 793.47/x
  3. Step 3: Cross multiply
    1,207.33x = 1,810.99 × 793.47
  4. Step 4: Simplify right side
    1,207.33x = 1,436,966.24
  5. Step 5: Solve for x
    x = 1,436,966.24/1,207.33
  6. Step 6: Final answer
    x = 1,190.20

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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.