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Finding the Fourth Proportional to 824.93, 1,138.37 and 451.89

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Solution

The fourth proportional to 824.93, 1,138.37 and 451.89 is: 623.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.93 : 1,138.37 = 451.89 : x
  2. Step 2: Convert to fraction form
    824.93/1,138.37 = 451.89/x
  3. Step 3: Cross multiply
    824.93x = 1,138.37 × 451.89
  4. Step 4: Simplify right side
    824.93x = 514,418.02
  5. Step 5: Solve for x
    x = 514,418.02/824.93
  6. Step 6: Final answer
    x = 623.59

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