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Finding the Fourth Proportional to 824.80, 1,237.16 and 208.52

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Solution

The fourth proportional to 824.80, 1,237.16 and 208.52 is: 312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.80 : 1,237.16 = 208.52 : x
  2. Step 2: Convert to fraction form
    824.80/1,237.16 = 208.52/x
  3. Step 3: Cross multiply
    824.80x = 1,237.16 × 208.52
  4. Step 4: Simplify right side
    824.80x = 257,972.60
  5. Step 5: Solve for x
    x = 257,972.60/824.80
  6. Step 6: Final answer
    x = 312.77

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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.