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Finding the Fourth Proportional to 1,355.79, 2,033.69 and 381.83

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Solution

The fourth proportional to 1,355.79, 2,033.69 and 381.83 is: 572.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.79 : 2,033.69 = 381.83 : x
  2. Step 2: Convert to fraction form
    1,355.79/2,033.69 = 381.83/x
  3. Step 3: Cross multiply
    1,355.79x = 2,033.69 × 381.83
  4. Step 4: Simplify right side
    1,355.79x = 776,511.78
  5. Step 5: Solve for x
    x = 776,511.78/1,355.79
  6. Step 6: Final answer
    x = 572.74

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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.