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Finding the Fourth Proportional to 1,321.90, 1,824.26 and 797.63

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Solution

The fourth proportional to 1,321.90, 1,824.26 and 797.63 is: 1,100.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.90 : 1,824.26 = 797.63 : x
  2. Step 2: Convert to fraction form
    1,321.90/1,824.26 = 797.63/x
  3. Step 3: Cross multiply
    1,321.90x = 1,824.26 × 797.63
  4. Step 4: Simplify right side
    1,321.90x = 1,455,071.39
  5. Step 5: Solve for x
    x = 1,455,071.39/1,321.90
  6. Step 6: Final answer
    x = 1,100.74

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1.5x scale

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.