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Finding the Fourth Proportional to 848.35, 1,272.84 and 361.78

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Solution

The fourth proportional to 848.35, 1,272.84 and 361.78 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.35 : 1,272.84 = 361.78 : x
  2. Step 2: Convert to fraction form
    848.35/1,272.84 = 361.78/x
  3. Step 3: Cross multiply
    848.35x = 1,272.84 × 361.78
  4. Step 4: Simplify right side
    848.35x = 460,488.06
  5. Step 5: Solve for x
    x = 460,488.06/848.35
  6. Step 6: Final answer
    x = 542.80

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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.