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Finding the Fourth Proportional to 1,093.30, 1,639.91 and 271.58

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Solution

The fourth proportional to 1,093.30, 1,639.91 and 271.58 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.30 : 1,639.91 = 271.58 : x
  2. Step 2: Convert to fraction form
    1,093.30/1,639.91 = 271.58/x
  3. Step 3: Cross multiply
    1,093.30x = 1,639.91 × 271.58
  4. Step 4: Simplify right side
    1,093.30x = 445,359.24
  5. Step 5: Solve for x
    x = 445,359.24/1,093.30
  6. Step 6: Final answer
    x = 407.35

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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.