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Finding the Fourth Proportional to 1,366.88, 2,050.31 and 393.05

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Solution

The fourth proportional to 1,366.88, 2,050.31 and 393.05 is: 589.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.88 : 2,050.31 = 393.05 : x
  2. Step 2: Convert to fraction form
    1,366.88/2,050.31 = 393.05/x
  3. Step 3: Cross multiply
    1,366.88x = 2,050.31 × 393.05
  4. Step 4: Simplify right side
    1,366.88x = 805,880.45
  5. Step 5: Solve for x
    x = 805,880.45/1,366.88
  6. Step 6: Final answer
    x = 589.58

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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.