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Finding the Fourth Proportional to 770.82, 1,064.15 and 456.18

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Solution

The fourth proportional to 770.82, 1,064.15 and 456.18 is: 629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,064.15 = 456.18 : x
  2. Step 2: Convert to fraction form
    770.82/1,064.15 = 456.18/x
  3. Step 3: Cross multiply
    770.82x = 1,064.15 × 456.18
  4. Step 4: Simplify right side
    770.82x = 485,441.67
  5. Step 5: Solve for x
    x = 485,441.67/770.82
  6. Step 6: Final answer
    x = 629.77

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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.