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Finding the Fourth Proportional to 824.95, 1,237.39 and 208.68

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Solution

The fourth proportional to 824.95, 1,237.39 and 208.68 is: 313.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,237.39 = 208.68 : x
  2. Step 2: Convert to fraction form
    824.95/1,237.39 = 208.68/x
  3. Step 3: Cross multiply
    824.95x = 1,237.39 × 208.68
  4. Step 4: Simplify right side
    824.95x = 258,214.56
  5. Step 5: Solve for x
    x = 258,214.56/824.95
  6. Step 6: Final answer
    x = 313.01

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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.