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Finding the Fourth Proportional to 688.98, 1,033.46 and 202.03

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Solution

The fourth proportional to 688.98, 1,033.46 and 202.03 is: 303.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.98 : 1,033.46 = 202.03 : x
  2. Step 2: Convert to fraction form
    688.98/1,033.46 = 202.03/x
  3. Step 3: Cross multiply
    688.98x = 1,033.46 × 202.03
  4. Step 4: Simplify right side
    688.98x = 208,789.92
  5. Step 5: Solve for x
    x = 208,789.92/688.98
  6. Step 6: Final answer
    x = 303.04

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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.