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Finding the Fourth Proportional to 770.86, 1,156.50 and 223.04

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Solution

The fourth proportional to 770.86, 1,156.50 and 223.04 is: 334.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.86 : 1,156.50 = 223.04 : x
  2. Step 2: Convert to fraction form
    770.86/1,156.50 = 223.04/x
  3. Step 3: Cross multiply
    770.86x = 1,156.50 × 223.04
  4. Step 4: Simplify right side
    770.86x = 257,945.76
  5. Step 5: Solve for x
    x = 257,945.76/770.86
  6. Step 6: Final answer
    x = 334.62

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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.