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Finding the Fourth Proportional to 777.46, 1,072.90 and 428.12

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Solution

The fourth proportional to 777.46, 1,072.90 and 428.12 is: 590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.46 : 1,072.90 = 428.12 : x
  2. Step 2: Convert to fraction form
    777.46/1,072.90 = 428.12/x
  3. Step 3: Cross multiply
    777.46x = 1,072.90 × 428.12
  4. Step 4: Simplify right side
    777.46x = 459,329.95
  5. Step 5: Solve for x
    x = 459,329.95/777.46
  6. Step 6: Final answer
    x = 590.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.