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Finding the Fourth Proportional to 1,205.88, 1,810.42 and 773.24

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Solution

The fourth proportional to 1,205.88, 1,810.42 and 773.24 is: 1,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.88 : 1,810.42 = 773.24 : x
  2. Step 2: Convert to fraction form
    1,205.88/1,810.42 = 773.24/x
  3. Step 3: Cross multiply
    1,205.88x = 1,810.42 × 773.24
  4. Step 4: Simplify right side
    1,205.88x = 1,399,889.16
  5. Step 5: Solve for x
    x = 1,399,889.16/1,205.88
  6. Step 6: Final answer
    x = 1,160.89

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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.