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Finding the Fourth Proportional to 824.95, 1,237.06 and 414.01

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Solution

The fourth proportional to 824.95, 1,237.06 and 414.01 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.95 : 1,237.06 = 414.01 : x
  2. Step 2: Convert to fraction form
    824.95/1,237.06 = 414.01/x
  3. Step 3: Cross multiply
    824.95x = 1,237.06 × 414.01
  4. Step 4: Simplify right side
    824.95x = 512,146.96
  5. Step 5: Solve for x
    x = 512,146.96/824.95
  6. Step 6: Final answer
    x = 620.83

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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.