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Finding the Fourth Proportional to 1,205.88, 1,809.06 and 383.94

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Solution

The fourth proportional to 1,205.88, 1,809.06 and 383.94 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,809.06 = 383.94 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,809.06 = 383.94/x
  3. Step 3: Cross multiply
    1,205.88x = 1,809.06 × 383.94
  4. Step 4: Simplify right side
    1,205.88x = 694,570.50
  5. Step 5: Solve for x
    x = 694,570.50/1,205.88
  6. Step 6: Final answer
    x = 575.99

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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.