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Finding the Fourth Proportional to 1,563.95, 2,344.84 and 589.79

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Solution

The fourth proportional to 1,563.95, 2,344.84 and 589.79 is: 884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.95 : 2,344.84 = 589.79 : x
  2. Step 2: Convert to fraction form
    1,563.95/2,344.84 = 589.79/x
  3. Step 3: Cross multiply
    1,563.95x = 2,344.84 × 589.79
  4. Step 4: Simplify right side
    1,563.95x = 1,382,963.18
  5. Step 5: Solve for x
    x = 1,382,963.18/1,563.95
  6. Step 6: Final answer
    x = 884.28

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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.