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Finding the Fourth Proportional to 770.47, 1,155.84 and 222.72

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Solution

The fourth proportional to 770.47, 1,155.84 and 222.72 is: 334.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.47 : 1,155.84 = 222.72 : x
  2. Step 2: Convert to fraction form
    770.47/1,155.84 = 222.72/x
  3. Step 3: Cross multiply
    770.47x = 1,155.84 × 222.72
  4. Step 4: Simplify right side
    770.47x = 257,428.68
  5. Step 5: Solve for x
    x = 257,428.68/770.47
  6. Step 6: Final answer
    x = 334.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.