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Finding the Fourth Proportional to 770.82, 1,156.23 and 193.68

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Solution

The fourth proportional to 770.82, 1,156.23 and 193.68 is: 290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,156.23 = 193.68 : x
  2. Step 2: Convert to fraction form
    770.82/1,156.23 = 193.68/x
  3. Step 3: Cross multiply
    770.82x = 1,156.23 × 193.68
  4. Step 4: Simplify right side
    770.82x = 223,938.63
  5. Step 5: Solve for x
    x = 223,938.63/770.82
  6. Step 6: Final answer
    x = 290.52

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Double scale
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1.5x scale

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.