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Finding the Fourth Proportional to 770.96, 1,156.70 and 338.40

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Solution

The fourth proportional to 770.96, 1,156.70 and 338.40 is: 507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,156.70 = 338.40 : x
  2. Step 2: Convert to fraction form
    770.96/1,156.70 = 338.40/x
  3. Step 3: Cross multiply
    770.96x = 1,156.70 × 338.40
  4. Step 4: Simplify right side
    770.96x = 391,427.28
  5. Step 5: Solve for x
    x = 391,427.28/770.96
  6. Step 6: Final answer
    x = 507.71

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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.