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Finding the Fourth Proportional to 1,563.48, 2,345.52 and 589.58

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Solution

The fourth proportional to 1,563.48, 2,345.52 and 589.58 is: 884.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.48 : 2,345.52 = 589.58 : x
  2. Step 2: Convert to fraction form
    1,563.48/2,345.52 = 589.58/x
  3. Step 3: Cross multiply
    1,563.48x = 2,345.52 × 589.58
  4. Step 4: Simplify right side
    1,563.48x = 1,382,871.68
  5. Step 5: Solve for x
    x = 1,382,871.68/1,563.48
  6. Step 6: Final answer
    x = 884.48

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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.