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Finding the Fourth Proportional to 1,093.13, 1,638.94 and 362.60

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Solution

The fourth proportional to 1,093.13, 1,638.94 and 362.60 is: 543.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.13 : 1,638.94 = 362.60 : x
  2. Step 2: Convert to fraction form
    1,093.13/1,638.94 = 362.60/x
  3. Step 3: Cross multiply
    1,093.13x = 1,638.94 × 362.60
  4. Step 4: Simplify right side
    1,093.13x = 594,279.64
  5. Step 5: Solve for x
    x = 594,279.64/1,093.13
  6. Step 6: Final answer
    x = 543.65

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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.