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Finding the Fourth Proportional to 1,103.48, 1,522.88 and 729.81

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Solution

The fourth proportional to 1,103.48, 1,522.88 and 729.81 is: 1,007.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.48 : 1,522.88 = 729.81 : x
  2. Step 2: Convert to fraction form
    1,103.48/1,522.88 = 729.81/x
  3. Step 3: Cross multiply
    1,103.48x = 1,522.88 × 729.81
  4. Step 4: Simplify right side
    1,103.48x = 1,111,413.05
  5. Step 5: Solve for x
    x = 1,111,413.05/1,103.48
  6. Step 6: Final answer
    x = 1,007.19

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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.