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Finding the Fourth Proportional to 690.12, 1,035.60 and 324.94

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Solution

The fourth proportional to 690.12, 1,035.60 and 324.94 is: 487.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.12 : 1,035.60 = 324.94 : x
  2. Step 2: Convert to fraction form
    690.12/1,035.60 = 324.94/x
  3. Step 3: Cross multiply
    690.12x = 1,035.60 × 324.94
  4. Step 4: Simplify right side
    690.12x = 336,507.86
  5. Step 5: Solve for x
    x = 336,507.86/690.12
  6. Step 6: Final answer
    x = 487.61

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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.