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Finding the Fourth Proportional to 1,324.01, 1,986.02 and 350.09

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Solution

The fourth proportional to 1,324.01, 1,986.02 and 350.09 is: 525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.01 : 1,986.02 = 350.09 : x
  2. Step 2: Convert to fraction form
    1,324.01/1,986.02 = 350.09/x
  3. Step 3: Cross multiply
    1,324.01x = 1,986.02 × 350.09
  4. Step 4: Simplify right side
    1,324.01x = 695,285.74
  5. Step 5: Solve for x
    x = 695,285.74/1,324.01
  6. Step 6: Final answer
    x = 525.14

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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.