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Finding the Fourth Proportional to 1,321.60, 1,825.30 and 901.23

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Solution

The fourth proportional to 1,321.60, 1,825.30 and 901.23 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.60 : 1,825.30 = 901.23 : x
  2. Step 2: Convert to fraction form
    1,321.60/1,825.30 = 901.23/x
  3. Step 3: Cross multiply
    1,321.60x = 1,825.30 × 901.23
  4. Step 4: Simplify right side
    1,321.60x = 1,645,015.12
  5. Step 5: Solve for x
    x = 1,645,015.12/1,321.60
  6. Step 6: Final answer
    x = 1,244.71

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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.