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Finding the Fourth Proportional to 1,162.84, 1,604.10 and 720.28

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Solution

The fourth proportional to 1,162.84, 1,604.10 and 720.28 is: 993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.84 : 1,604.10 = 720.28 : x
  2. Step 2: Convert to fraction form
    1,162.84/1,604.10 = 720.28/x
  3. Step 3: Cross multiply
    1,162.84x = 1,604.10 × 720.28
  4. Step 4: Simplify right side
    1,162.84x = 1,155,401.15
  5. Step 5: Solve for x
    x = 1,155,401.15/1,162.84
  6. Step 6: Final answer
    x = 993.60

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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.