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Finding the Fourth Proportional to 1,324.32, 1,986.16 and 412.32

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Solution

The fourth proportional to 1,324.32, 1,986.16 and 412.32 is: 618.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.32 : 1,986.16 = 412.32 : x
  2. Step 2: Convert to fraction form
    1,324.32/1,986.16 = 412.32/x
  3. Step 3: Cross multiply
    1,324.32x = 1,986.16 × 412.32
  4. Step 4: Simplify right side
    1,324.32x = 818,933.49
  5. Step 5: Solve for x
    x = 818,933.49/1,324.32
  6. Step 6: Final answer
    x = 618.38

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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.