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Finding the Fourth Proportional to 770.61, 1,063.49 and 455.90

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Solution

The fourth proportional to 770.61, 1,063.49 and 455.90 is: 629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.61 : 1,063.49 = 455.90 : x
  2. Step 2: Convert to fraction form
    770.61/1,063.49 = 455.90/x
  3. Step 3: Cross multiply
    770.61x = 1,063.49 × 455.90
  4. Step 4: Simplify right side
    770.61x = 484,837.49
  5. Step 5: Solve for x
    x = 484,837.49/770.61
  6. Step 6: Final answer
    x = 629.16

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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.