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Finding the Fourth Proportional to 1,205.84, 1,808.90 and 383.82

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Solution

The fourth proportional to 1,205.84, 1,808.90 and 383.82 is: 575.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.84 : 1,808.90 = 383.82 : x
  2. Step 2: Convert to fraction form
    1,205.84/1,808.90 = 383.82/x
  3. Step 3: Cross multiply
    1,205.84x = 1,808.90 × 383.82
  4. Step 4: Simplify right side
    1,205.84x = 694,292.00
  5. Step 5: Solve for x
    x = 694,292.00/1,205.84
  6. Step 6: Final answer
    x = 575.77

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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.