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Finding the Fourth Proportional to 1,594.83, 2,393.06 and 825.33

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Solution

The fourth proportional to 1,594.83, 2,393.06 and 825.33 is: 1,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.83 : 2,393.06 = 825.33 : x
  2. Step 2: Convert to fraction form
    1,594.83/2,393.06 = 825.33/x
  3. Step 3: Cross multiply
    1,594.83x = 2,393.06 × 825.33
  4. Step 4: Simplify right side
    1,594.83x = 1,975,073.70
  5. Step 5: Solve for x
    x = 1,975,073.70/1,594.83
  6. Step 6: Final answer
    x = 1,238.42

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1.5x scale

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.