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Finding the Fourth Proportional to 1,366.95, 2,050.21 and 392.83

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Solution

The fourth proportional to 1,366.95, 2,050.21 and 392.83 is: 589.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.95 : 2,050.21 = 392.83 : x
  2. Step 2: Convert to fraction form
    1,366.95/2,050.21 = 392.83/x
  3. Step 3: Cross multiply
    1,366.95x = 2,050.21 × 392.83
  4. Step 4: Simplify right side
    1,366.95x = 805,382.03
  5. Step 5: Solve for x
    x = 805,382.03/1,366.95
  6. Step 6: Final answer
    x = 589.18

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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.