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Finding the Fourth Proportional to 770.76, 1,156.14 and 193.63

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Solution

The fourth proportional to 770.76, 1,156.14 and 193.63 is: 290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.76 : 1,156.14 = 193.63 : x
  2. Step 2: Convert to fraction form
    770.76/1,156.14 = 193.63/x
  3. Step 3: Cross multiply
    770.76x = 1,156.14 × 193.63
  4. Step 4: Simplify right side
    770.76x = 223,863.39
  5. Step 5: Solve for x
    x = 223,863.39/770.76
  6. Step 6: Final answer
    x = 290.45

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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.