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Finding the Fourth Proportional to 824.53, 1,137.86 and 451.51

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Solution

The fourth proportional to 824.53, 1,137.86 and 451.51 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.53 : 1,137.86 = 451.51 : x
  2. Step 2: Convert to fraction form
    824.53/1,137.86 = 451.51/x
  3. Step 3: Cross multiply
    824.53x = 1,137.86 × 451.51
  4. Step 4: Simplify right side
    824.53x = 513,755.17
  5. Step 5: Solve for x
    x = 513,755.17/824.53
  6. Step 6: Final answer
    x = 623.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.