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Finding the Fourth Proportional to 1,096.77, 1,645.49 and 384.46

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Solution

The fourth proportional to 1,096.77, 1,645.49 and 384.46 is: 576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.77 : 1,645.49 = 384.46 : x
  2. Step 2: Convert to fraction form
    1,096.77/1,645.49 = 384.46/x
  3. Step 3: Cross multiply
    1,096.77x = 1,645.49 × 384.46
  4. Step 4: Simplify right side
    1,096.77x = 632,625.09
  5. Step 5: Solve for x
    x = 632,625.09/1,096.77
  6. Step 6: Final answer
    x = 576.81

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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.