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Finding the Fourth Proportional to 1,324.56, 1,986.21 and 594.33

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Solution

The fourth proportional to 1,324.56, 1,986.21 and 594.33 is: 891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.56 : 1,986.21 = 594.33 : x
  2. Step 2: Convert to fraction form
    1,324.56/1,986.21 = 594.33/x
  3. Step 3: Cross multiply
    1,324.56x = 1,986.21 × 594.33
  4. Step 4: Simplify right side
    1,324.56x = 1,180,464.19
  5. Step 5: Solve for x
    x = 1,180,464.19/1,324.56
  6. Step 6: Final answer
    x = 891.21

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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.