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Finding the Fourth Proportional to 777.48, 1,072.89 and 428.15

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Solution

The fourth proportional to 777.48, 1,072.89 and 428.15 is: 590.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.48 : 1,072.89 = 428.15 : x
  2. Step 2: Convert to fraction form
    777.48/1,072.89 = 428.15/x
  3. Step 3: Cross multiply
    777.48x = 1,072.89 × 428.15
  4. Step 4: Simplify right side
    777.48x = 459,352.49
  5. Step 5: Solve for x
    x = 459,352.49/777.48
  6. Step 6: Final answer
    x = 590.82

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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.