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Finding the Fourth Proportional to 1,367.12, 2,050.07 and 393.00

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Solution

The fourth proportional to 1,367.12, 2,050.07 and 393.00 is: 589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.12 : 2,050.07 = 393.00 : x
  2. Step 2: Convert to fraction form
    1,367.12/2,050.07 = 393.00/x
  3. Step 3: Cross multiply
    1,367.12x = 2,050.07 × 393.00
  4. Step 4: Simplify right side
    1,367.12x = 805,665.29
  5. Step 5: Solve for x
    x = 805,665.29/1,367.12
  6. Step 6: Final answer
    x = 589.32

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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.