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Finding the Fourth Proportional to 848.09, 1,272.06 and 361.14

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Solution

The fourth proportional to 848.09, 1,272.06 and 361.14 is: 541.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.09 : 1,272.06 = 361.14 : x
  2. Step 2: Convert to fraction form
    848.09/1,272.06 = 361.14/x
  3. Step 3: Cross multiply
    848.09x = 1,272.06 × 361.14
  4. Step 4: Simplify right side
    848.09x = 459,391.75
  5. Step 5: Solve for x
    x = 459,391.75/848.09
  6. Step 6: Final answer
    x = 541.68

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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.