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Finding the Fourth Proportional to 689.06, 1,033.62 and 202.14

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Solution

The fourth proportional to 689.06, 1,033.62 and 202.14 is: 303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.06 : 1,033.62 = 202.14 : x
  2. Step 2: Convert to fraction form
    689.06/1,033.62 = 202.14/x
  3. Step 3: Cross multiply
    689.06x = 1,033.62 × 202.14
  4. Step 4: Simplify right side
    689.06x = 208,935.95
  5. Step 5: Solve for x
    x = 208,935.95/689.06
  6. Step 6: Final answer
    x = 303.22

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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.