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Finding the Fourth Proportional to 1,093.36, 1,639.65 and 362.77

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Solution

The fourth proportional to 1,093.36, 1,639.65 and 362.77 is: 544.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.36 : 1,639.65 = 362.77 : x
  2. Step 2: Convert to fraction form
    1,093.36/1,639.65 = 362.77/x
  3. Step 3: Cross multiply
    1,093.36x = 1,639.65 × 362.77
  4. Step 4: Simplify right side
    1,093.36x = 594,815.83
  5. Step 5: Solve for x
    x = 594,815.83/1,093.36
  6. Step 6: Final answer
    x = 544.03

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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.