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Finding the Fourth Proportional to 689.13, 1,033.70 and 202.18

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Solution

The fourth proportional to 689.13, 1,033.70 and 202.18 is: 303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.13 : 1,033.70 = 202.18 : x
  2. Step 2: Convert to fraction form
    689.13/1,033.70 = 202.18/x
  3. Step 3: Cross multiply
    689.13x = 1,033.70 × 202.18
  4. Step 4: Simplify right side
    689.13x = 208,997.02
  5. Step 5: Solve for x
    x = 208,997.02/689.13
  6. Step 6: Final answer
    x = 303.28

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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.