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Finding the Fourth Proportional to 770.67, 1,156.82 and 338.13

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Solution

The fourth proportional to 770.67, 1,156.82 and 338.13 is: 507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.67 : 1,156.82 = 338.13 : x
  2. Step 2: Convert to fraction form
    770.67/1,156.82 = 338.13/x
  3. Step 3: Cross multiply
    770.67x = 1,156.82 × 338.13
  4. Step 4: Simplify right side
    770.67x = 391,153.86
  5. Step 5: Solve for x
    x = 391,153.86/770.67
  6. Step 6: Final answer
    x = 507.55

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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.