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Finding the Fourth Proportional to 770.59, 1,155.93 and 222.85

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Solution

The fourth proportional to 770.59, 1,155.93 and 222.85 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.59 : 1,155.93 = 222.85 : x
  2. Step 2: Convert to fraction form
    770.59/1,155.93 = 222.85/x
  3. Step 3: Cross multiply
    770.59x = 1,155.93 × 222.85
  4. Step 4: Simplify right side
    770.59x = 257,592.11
  5. Step 5: Solve for x
    x = 257,592.11/770.59
  6. Step 6: Final answer
    x = 334.28

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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.