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Finding the Fourth Proportional to 1,322.52, 1,825.38 and 855.96

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Solution

The fourth proportional to 1,322.52, 1,825.38 and 855.96 is: 1,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.52 : 1,825.38 = 855.96 : x
  2. Step 2: Convert to fraction form
    1,322.52/1,825.38 = 855.96/x
  3. Step 3: Cross multiply
    1,322.52x = 1,825.38 × 855.96
  4. Step 4: Simplify right side
    1,322.52x = 1,562,452.26
  5. Step 5: Solve for x
    x = 1,562,452.26/1,322.52
  6. Step 6: Final answer
    x = 1,181.42

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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.