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Finding the Fourth Proportional to 690.87, 1,035.81 and 325.46

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Solution

The fourth proportional to 690.87, 1,035.81 and 325.46 is: 487.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 1,035.81 = 325.46 : x
  2. Step 2: Convert to fraction form
    690.87/1,035.81 = 325.46/x
  3. Step 3: Cross multiply
    690.87x = 1,035.81 × 325.46
  4. Step 4: Simplify right side
    690.87x = 337,114.72
  5. Step 5: Solve for x
    x = 337,114.72/690.87
  6. Step 6: Final answer
    x = 487.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.