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Finding the Fourth Proportional to 1,324.53, 1,986.49 and 594.31

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Solution

The fourth proportional to 1,324.53, 1,986.49 and 594.31 is: 891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.53 : 1,986.49 = 594.31 : x
  2. Step 2: Convert to fraction form
    1,324.53/1,986.49 = 594.31/x
  3. Step 3: Cross multiply
    1,324.53x = 1,986.49 × 594.31
  4. Step 4: Simplify right side
    1,324.53x = 1,180,594.35
  5. Step 5: Solve for x
    x = 1,180,594.35/1,324.53
  6. Step 6: Final answer
    x = 891.33

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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.