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Finding the Fourth Proportional to 824.78, 1,237.32 and 277.02

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Solution

The fourth proportional to 824.78, 1,237.32 and 277.02 is: 415.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.78 : 1,237.32 = 277.02 : x
  2. Step 2: Convert to fraction form
    824.78/1,237.32 = 277.02/x
  3. Step 3: Cross multiply
    824.78x = 1,237.32 × 277.02
  4. Step 4: Simplify right side
    824.78x = 342,762.39
  5. Step 5: Solve for x
    x = 342,762.39/824.78
  6. Step 6: Final answer
    x = 415.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.