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Finding the Fourth Proportional to 1,102.85, 1,652.83 and 662.69

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Solution

The fourth proportional to 1,102.85, 1,652.83 and 662.69 is: 993.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.85 : 1,652.83 = 662.69 : x
  2. Step 2: Convert to fraction form
    1,102.85/1,652.83 = 662.69/x
  3. Step 3: Cross multiply
    1,102.85x = 1,652.83 × 662.69
  4. Step 4: Simplify right side
    1,102.85x = 1,095,313.91
  5. Step 5: Solve for x
    x = 1,095,313.91/1,102.85
  6. Step 6: Final answer
    x = 993.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.