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Finding the Fourth Proportional to 1,116.09, 1,539.95 and 767.25

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Solution

The fourth proportional to 1,116.09, 1,539.95 and 767.25 is: 1,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.09 : 1,539.95 = 767.25 : x
  2. Step 2: Convert to fraction form
    1,116.09/1,539.95 = 767.25/x
  3. Step 3: Cross multiply
    1,116.09x = 1,539.95 × 767.25
  4. Step 4: Simplify right side
    1,116.09x = 1,181,522.80
  5. Step 5: Solve for x
    x = 1,181,522.80/1,116.09
  6. Step 6: Final answer
    x = 1,058.63

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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.