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Finding the Fourth Proportional to 770.96, 1,154.16 and 674.96

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Solution

The fourth proportional to 770.96, 1,154.16 and 674.96 is: 1,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,154.16 = 674.96 : x
  2. Step 2: Convert to fraction form
    770.96/1,154.16 = 674.96/x
  3. Step 3: Cross multiply
    770.96x = 1,154.16 × 674.96
  4. Step 4: Simplify right side
    770.96x = 779,011.83
  5. Step 5: Solve for x
    x = 779,011.83/770.96
  6. Step 6: Final answer
    x = 1,010.44

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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.