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Finding the Fourth Proportional to 770.82, 1,157.59 and 738.92

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Solution

The fourth proportional to 770.82, 1,157.59 and 738.92 is: 1,109.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,157.59 = 738.92 : x
  2. Step 2: Convert to fraction form
    770.82/1,157.59 = 738.92/x
  3. Step 3: Cross multiply
    770.82x = 1,157.59 × 738.92
  4. Step 4: Simplify right side
    770.82x = 855,370.22
  5. Step 5: Solve for x
    x = 855,370.22/770.82
  6. Step 6: Final answer
    x = 1,109.69

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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.