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Finding the Fourth Proportional to 777.13, 1,072.46 and 427.84

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Solution

The fourth proportional to 777.13, 1,072.46 and 427.84 is: 590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.13 : 1,072.46 = 427.84 : x
  2. Step 2: Convert to fraction form
    777.13/1,072.46 = 427.84/x
  3. Step 3: Cross multiply
    777.13x = 1,072.46 × 427.84
  4. Step 4: Simplify right side
    777.13x = 458,841.29
  5. Step 5: Solve for x
    x = 458,841.29/777.13
  6. Step 6: Final answer
    x = 590.43

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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.