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Finding the Fourth Proportional to 1,324.19, 1,986.62 and 400.07

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Solution

The fourth proportional to 1,324.19, 1,986.62 and 400.07 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.19 : 1,986.62 = 400.07 : x
  2. Step 2: Convert to fraction form
    1,324.19/1,986.62 = 400.07/x
  3. Step 3: Cross multiply
    1,324.19x = 1,986.62 × 400.07
  4. Step 4: Simplify right side
    1,324.19x = 794,775.13
  5. Step 5: Solve for x
    x = 794,775.13/1,324.19
  6. Step 6: Final answer
    x = 600.20

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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.