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Finding the Fourth Proportional to 770.72, 1,063.36 and 456.02

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Solution

The fourth proportional to 770.72, 1,063.36 and 456.02 is: 629.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.72 : 1,063.36 = 456.02 : x
  2. Step 2: Convert to fraction form
    770.72/1,063.36 = 456.02/x
  3. Step 3: Cross multiply
    770.72x = 1,063.36 × 456.02
  4. Step 4: Simplify right side
    770.72x = 484,911.15
  5. Step 5: Solve for x
    x = 484,911.15/770.72
  6. Step 6: Final answer
    x = 629.17

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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.