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Finding the Fourth Proportional to 690.31, 1,035.63 and 251.80

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Solution

The fourth proportional to 690.31, 1,035.63 and 251.80 is: 377.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.31 : 1,035.63 = 251.80 : x
  2. Step 2: Convert to fraction form
    690.31/1,035.63 = 251.80/x
  3. Step 3: Cross multiply
    690.31x = 1,035.63 × 251.80
  4. Step 4: Simplify right side
    690.31x = 260,769.04
  5. Step 5: Solve for x
    x = 260,769.04/690.31
  6. Step 6: Final answer
    x = 377.76

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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.