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Finding the Fourth Proportional to 824.85, 1,237.32 and 277.08

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Solution

The fourth proportional to 824.85, 1,237.32 and 277.08 is: 415.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.85 : 1,237.32 = 277.08 : x
  2. Step 2: Convert to fraction form
    824.85/1,237.32 = 277.08/x
  3. Step 3: Cross multiply
    824.85x = 1,237.32 × 277.08
  4. Step 4: Simplify right side
    824.85x = 342,836.63
  5. Step 5: Solve for x
    x = 342,836.63/824.85
  6. Step 6: Final answer
    x = 415.64

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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.