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Finding the Fourth Proportional to 848.16, 1,271.82 and 270.84

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Solution

The fourth proportional to 848.16, 1,271.82 and 270.84 is: 406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,271.82 = 270.84 : x
  2. Step 2: Convert to fraction form
    848.16/1,271.82 = 270.84/x
  3. Step 3: Cross multiply
    848.16x = 1,271.82 × 270.84
  4. Step 4: Simplify right side
    848.16x = 344,459.73
  5. Step 5: Solve for x
    x = 344,459.73/848.16
  6. Step 6: Final answer
    x = 406.13

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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.