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Finding the Fourth Proportional to 1,205.33, 1,809.54 and 971.21

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Solution

The fourth proportional to 1,205.33, 1,809.54 and 971.21 is: 1,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.33 : 1,809.54 = 971.21 : x
  2. Step 2: Convert to fraction form
    1,205.33/1,809.54 = 971.21/x
  3. Step 3: Cross multiply
    1,205.33x = 1,809.54 × 971.21
  4. Step 4: Simplify right side
    1,205.33x = 1,757,434.30
  5. Step 5: Solve for x
    x = 1,757,434.30/1,205.33
  6. Step 6: Final answer
    x = 1,458.06

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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.