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Finding the Fourth Proportional to 689.40, 1,034.10 and 202.44

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Solution

The fourth proportional to 689.40, 1,034.10 and 202.44 is: 303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.40 : 1,034.10 = 202.44 : x
  2. Step 2: Convert to fraction form
    689.40/1,034.10 = 202.44/x
  3. Step 3: Cross multiply
    689.40x = 1,034.10 × 202.44
  4. Step 4: Simplify right side
    689.40x = 209,347.08
  5. Step 5: Solve for x
    x = 209,347.08/689.40
  6. Step 6: Final answer
    x = 303.67

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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.