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Finding the Fourth Proportional to 793.74, 1,189.43 and 707.23

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Solution

The fourth proportional to 793.74, 1,189.43 and 707.23 is: 1,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.74 : 1,189.43 = 707.23 : x
  2. Step 2: Convert to fraction form
    793.74/1,189.43 = 707.23/x
  3. Step 3: Cross multiply
    793.74x = 1,189.43 × 707.23
  4. Step 4: Simplify right side
    793.74x = 841,200.58
  5. Step 5: Solve for x
    x = 841,200.58/793.74
  6. Step 6: Final answer
    x = 1,059.79

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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.