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Finding the Fourth Proportional to 770.53, 1,063.50 and 490.70

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Solution

The fourth proportional to 770.53, 1,063.50 and 490.70 is: 677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.53 : 1,063.50 = 490.70 : x
  2. Step 2: Convert to fraction form
    770.53/1,063.50 = 490.70/x
  3. Step 3: Cross multiply
    770.53x = 1,063.50 × 490.70
  4. Step 4: Simplify right side
    770.53x = 521,855.64
  5. Step 5: Solve for x
    x = 521,855.64/770.53
  6. Step 6: Final answer
    x = 677.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.