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Finding the Fourth Proportional to 1,115.80, 1,539.75 and 722.14

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Solution

The fourth proportional to 1,115.80, 1,539.75 and 722.14 is: 996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.80 : 1,539.75 = 722.14 : x
  2. Step 2: Convert to fraction form
    1,115.80/1,539.75 = 722.14/x
  3. Step 3: Cross multiply
    1,115.80x = 1,539.75 × 722.14
  4. Step 4: Simplify right side
    1,115.80x = 1,111,915.07
  5. Step 5: Solve for x
    x = 1,111,915.07/1,115.80
  6. Step 6: Final answer
    x = 996.52

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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.