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Finding the Fourth Proportional to 848.02, 1,271.72 and 300.06

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Solution

The fourth proportional to 848.02, 1,271.72 and 300.06 is: 449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.02 : 1,271.72 = 300.06 : x
  2. Step 2: Convert to fraction form
    848.02/1,271.72 = 300.06/x
  3. Step 3: Cross multiply
    848.02x = 1,271.72 × 300.06
  4. Step 4: Simplify right side
    848.02x = 381,584.44
  5. Step 5: Solve for x
    x = 381,584.44/848.02
  6. Step 6: Final answer
    x = 449.97

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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.