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Finding the Fourth Proportional to 786.82, 1,085.31 and 599.91

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Solution

The fourth proportional to 786.82, 1,085.31 and 599.91 is: 827.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.82 : 1,085.31 = 599.91 : x
  2. Step 2: Convert to fraction form
    786.82/1,085.31 = 599.91/x
  3. Step 3: Cross multiply
    786.82x = 1,085.31 × 599.91
  4. Step 4: Simplify right side
    786.82x = 651,088.32
  5. Step 5: Solve for x
    x = 651,088.32/786.82
  6. Step 6: Final answer
    x = 827.49

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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.