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Finding the Fourth Proportional to 1,205.77, 1,808.81 and 425.59

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Solution

The fourth proportional to 1,205.77, 1,808.81 and 425.59 is: 638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.77 : 1,808.81 = 425.59 : x
  2. Step 2: Convert to fraction form
    1,205.77/1,808.81 = 425.59/x
  3. Step 3: Cross multiply
    1,205.77x = 1,808.81 × 425.59
  4. Step 4: Simplify right side
    1,205.77x = 769,807.99
  5. Step 5: Solve for x
    x = 769,807.99/1,205.77
  6. Step 6: Final answer
    x = 638.44

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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.