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Finding the Fourth Proportional to 770.84, 1,156.43 and 223.06

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Solution

The fourth proportional to 770.84, 1,156.43 and 223.06 is: 334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.84 : 1,156.43 = 223.06 : x
  2. Step 2: Convert to fraction form
    770.84/1,156.43 = 223.06/x
  3. Step 3: Cross multiply
    770.84x = 1,156.43 × 223.06
  4. Step 4: Simplify right side
    770.84x = 257,958.17
  5. Step 5: Solve for x
    x = 257,958.17/770.84
  6. Step 6: Final answer
    x = 334.65

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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.