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Finding the Fourth Proportional to 848.06, 1,272.09 and 414.91

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Solution

The fourth proportional to 848.06, 1,272.09 and 414.91 is: 622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.06 : 1,272.09 = 414.91 : x
  2. Step 2: Convert to fraction form
    848.06/1,272.09 = 414.91/x
  3. Step 3: Cross multiply
    848.06x = 1,272.09 × 414.91
  4. Step 4: Simplify right side
    848.06x = 527,809.00
  5. Step 5: Solve for x
    x = 527,809.00/848.06
  6. Step 6: Final answer
    x = 622.37

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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.