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Finding the Fourth Proportional to 824.84, 1,237.84 and 608.96

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Solution

The fourth proportional to 824.84, 1,237.84 and 608.96 is: 913.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.84 : 1,237.84 = 608.96 : x
  2. Step 2: Convert to fraction form
    824.84/1,237.84 = 608.96/x
  3. Step 3: Cross multiply
    824.84x = 1,237.84 × 608.96
  4. Step 4: Simplify right side
    824.84x = 753,795.05
  5. Step 5: Solve for x
    x = 753,795.05/824.84
  6. Step 6: Final answer
    x = 913.87

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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.