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Finding the Fourth Proportional to 1,770.23, 2,653.04 and 729.05

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Solution

The fourth proportional to 1,770.23, 2,653.04 and 729.05 is: 1,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.23 : 2,653.04 = 729.05 : x
  2. Step 2: Convert to fraction form
    1,770.23/2,653.04 = 729.05/x
  3. Step 3: Cross multiply
    1,770.23x = 2,653.04 × 729.05
  4. Step 4: Simplify right side
    1,770.23x = 1,934,181.90
  5. Step 5: Solve for x
    x = 1,934,181.90/1,770.23
  6. Step 6: Final answer
    x = 1,092.62

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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.