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Finding the Fourth Proportional to 727.03, 1,084.16 and 720.45

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Solution

The fourth proportional to 727.03, 1,084.16 and 720.45 is: 1,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.03 : 1,084.16 = 720.45 : x
  2. Step 2: Convert to fraction form
    727.03/1,084.16 = 720.45/x
  3. Step 3: Cross multiply
    727.03x = 1,084.16 × 720.45
  4. Step 4: Simplify right side
    727.03x = 781,083.07
  5. Step 5: Solve for x
    x = 781,083.07/727.03
  6. Step 6: Final answer
    x = 1,074.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.