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Finding the Fourth Proportional to 770.60, 1,155.89 and 193.48

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Solution

The fourth proportional to 770.60, 1,155.89 and 193.48 is: 290.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.60 : 1,155.89 = 193.48 : x
  2. Step 2: Convert to fraction form
    770.60/1,155.89 = 193.48/x
  3. Step 3: Cross multiply
    770.60x = 1,155.89 × 193.48
  4. Step 4: Simplify right side
    770.60x = 223,635.82
  5. Step 5: Solve for x
    x = 223,635.82/770.60
  6. Step 6: Final answer
    x = 290.21

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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.