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Finding the Fourth Proportional to 1,205.75, 1,809.36 and 521.75

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Solution

The fourth proportional to 1,205.75, 1,809.36 and 521.75 is: 782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.75 : 1,809.36 = 521.75 : x
  2. Step 2: Convert to fraction form
    1,205.75/1,809.36 = 521.75/x
  3. Step 3: Cross multiply
    1,205.75x = 1,809.36 × 521.75
  4. Step 4: Simplify right side
    1,205.75x = 944,033.58
  5. Step 5: Solve for x
    x = 944,033.58/1,205.75
  6. Step 6: Final answer
    x = 782.94

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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.