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Finding the Fourth Proportional to 847.17, 1,269.90 and 414.09

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Solution

The fourth proportional to 847.17, 1,269.90 and 414.09 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.17 : 1,269.90 = 414.09 : x
  2. Step 2: Convert to fraction form
    847.17/1,269.90 = 414.09/x
  3. Step 3: Cross multiply
    847.17x = 1,269.90 × 414.09
  4. Step 4: Simplify right side
    847.17x = 525,852.89
  5. Step 5: Solve for x
    x = 525,852.89/847.17
  6. Step 6: Final answer
    x = 620.72

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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.