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Finding the Fourth Proportional to 689.95, 1,035.26 and 324.76

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Solution

The fourth proportional to 689.95, 1,035.26 and 324.76 is: 487.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.95 : 1,035.26 = 324.76 : x
  2. Step 2: Convert to fraction form
    689.95/1,035.26 = 324.76/x
  3. Step 3: Cross multiply
    689.95x = 1,035.26 × 324.76
  4. Step 4: Simplify right side
    689.95x = 336,211.04
  5. Step 5: Solve for x
    x = 336,211.04/689.95
  6. Step 6: Final answer
    x = 487.30

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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.