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Finding the Fourth Proportional to 1,102.50, 1,653.81 and 333.06

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Solution

The fourth proportional to 1,102.50, 1,653.81 and 333.06 is: 499.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.50 : 1,653.81 = 333.06 : x
  2. Step 2: Convert to fraction form
    1,102.50/1,653.81 = 333.06/x
  3. Step 3: Cross multiply
    1,102.50x = 1,653.81 × 333.06
  4. Step 4: Simplify right side
    1,102.50x = 550,817.96
  5. Step 5: Solve for x
    x = 550,817.96/1,102.50
  6. Step 6: Final answer
    x = 499.61

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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.