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Finding the Fourth Proportional to 1,321.77, 1,824.08 and 797.50

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Solution

The fourth proportional to 1,321.77, 1,824.08 and 797.50 is: 1,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.77 : 1,824.08 = 797.50 : x
  2. Step 2: Convert to fraction form
    1,321.77/1,824.08 = 797.50/x
  3. Step 3: Cross multiply
    1,321.77x = 1,824.08 × 797.50
  4. Step 4: Simplify right side
    1,321.77x = 1,454,703.80
  5. Step 5: Solve for x
    x = 1,454,703.80/1,321.77
  6. Step 6: Final answer
    x = 1,100.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.