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Finding the Fourth Proportional to 1,209.61, 1,810.77 and 797.46

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Solution

The fourth proportional to 1,209.61, 1,810.77 and 797.46 is: 1,193.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.61 : 1,810.77 = 797.46 : x
  2. Step 2: Convert to fraction form
    1,209.61/1,810.77 = 797.46/x
  3. Step 3: Cross multiply
    1,209.61x = 1,810.77 × 797.46
  4. Step 4: Simplify right side
    1,209.61x = 1,444,016.64
  5. Step 5: Solve for x
    x = 1,444,016.64/1,209.61
  6. Step 6: Final answer
    x = 1,193.79

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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.