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Finding the Fourth Proportional to 777.13, 1,072.45 and 445.53

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Solution

The fourth proportional to 777.13, 1,072.45 and 445.53 is: 614.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.13 : 1,072.45 = 445.53 : x
  2. Step 2: Convert to fraction form
    777.13/1,072.45 = 445.53/x
  3. Step 3: Cross multiply
    777.13x = 1,072.45 × 445.53
  4. Step 4: Simplify right side
    777.13x = 477,808.65
  5. Step 5: Solve for x
    x = 477,808.65/777.13
  6. Step 6: Final answer
    x = 614.84

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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.