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Finding the Fourth Proportional to 1,595.52, 2,392.94 and 729.62

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Solution

The fourth proportional to 1,595.52, 2,392.94 and 729.62 is: 1,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595.52 : 2,392.94 = 729.62 : x
  2. Step 2: Convert to fraction form
    1,595.52/2,392.94 = 729.62/x
  3. Step 3: Cross multiply
    1,595.52x = 2,392.94 × 729.62
  4. Step 4: Simplify right side
    1,595.52x = 1,745,936.88
  5. Step 5: Solve for x
    x = 1,745,936.88/1,595.52
  6. Step 6: Final answer
    x = 1,094.27

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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.