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Finding the Fourth Proportional to 777.82, 1,072.26 and 590.98

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Solution

The fourth proportional to 777.82, 1,072.26 and 590.98 is: 814.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.82 : 1,072.26 = 590.98 : x
  2. Step 2: Convert to fraction form
    777.82/1,072.26 = 590.98/x
  3. Step 3: Cross multiply
    777.82x = 1,072.26 × 590.98
  4. Step 4: Simplify right side
    777.82x = 633,685.58
  5. Step 5: Solve for x
    x = 633,685.58/777.82
  6. Step 6: Final answer
    x = 814.70

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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.