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Finding the Fourth Proportional to 1,102.57, 1,653.84 and 333.07

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Solution

The fourth proportional to 1,102.57, 1,653.84 and 333.07 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.57 : 1,653.84 = 333.07 : x
  2. Step 2: Convert to fraction form
    1,102.57/1,653.84 = 333.07/x
  3. Step 3: Cross multiply
    1,102.57x = 1,653.84 × 333.07
  4. Step 4: Simplify right side
    1,102.57x = 550,844.49
  5. Step 5: Solve for x
    x = 550,844.49/1,102.57
  6. Step 6: Final answer
    x = 499.60

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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.