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Finding the Fourth Proportional to 1,324.06, 1,986.06 and 350.23

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Solution

The fourth proportional to 1,324.06, 1,986.06 and 350.23 is: 525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.06 : 1,986.06 = 350.23 : x
  2. Step 2: Convert to fraction form
    1,324.06/1,986.06 = 350.23/x
  3. Step 3: Cross multiply
    1,324.06x = 1,986.06 × 350.23
  4. Step 4: Simplify right side
    1,324.06x = 695,577.79
  5. Step 5: Solve for x
    x = 695,577.79/1,324.06
  6. Step 6: Final answer
    x = 525.34

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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.