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Finding the Fourth Proportional to 1,953.52, 2,929.86 and 566.44

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Solution

The fourth proportional to 1,953.52, 2,929.86 and 566.44 is: 849.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,953.52 : 2,929.86 = 566.44 : x
  2. Step 2: Convert to fraction form
    1,953.52/2,929.86 = 566.44/x
  3. Step 3: Cross multiply
    1,953.52x = 2,929.86 × 566.44
  4. Step 4: Simplify right side
    1,953.52x = 1,659,589.90
  5. Step 5: Solve for x
    x = 1,659,589.90/1,953.52
  6. Step 6: Final answer
    x = 849.54

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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.