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Finding the Fourth Proportional to 1,324.17, 1,986.46 and 350.35

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Solution

The fourth proportional to 1,324.17, 1,986.46 and 350.35 is: 525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.17 : 1,986.46 = 350.35 : x
  2. Step 2: Convert to fraction form
    1,324.17/1,986.46 = 350.35/x
  3. Step 3: Cross multiply
    1,324.17x = 1,986.46 × 350.35
  4. Step 4: Simplify right side
    1,324.17x = 695,956.26
  5. Step 5: Solve for x
    x = 695,956.26/1,324.17
  6. Step 6: Final answer
    x = 525.58

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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.