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Finding the Fourth Proportional to 689.35, 1,034.16 and 202.36

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Solution

The fourth proportional to 689.35, 1,034.16 and 202.36 is: 303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.35 : 1,034.16 = 202.36 : x
  2. Step 2: Convert to fraction form
    689.35/1,034.16 = 202.36/x
  3. Step 3: Cross multiply
    689.35x = 1,034.16 × 202.36
  4. Step 4: Simplify right side
    689.35x = 209,267.95
  5. Step 5: Solve for x
    x = 209,267.95/689.35
  6. Step 6: Final answer
    x = 303.58

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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.