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Finding the Fourth Proportional to 1,156.44, 1,734.66 and 290.75

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Solution

The fourth proportional to 1,156.44, 1,734.66 and 290.75 is: 436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.44 : 1,734.66 = 290.75 : x
  2. Step 2: Convert to fraction form
    1,156.44/1,734.66 = 290.75/x
  3. Step 3: Cross multiply
    1,156.44x = 1,734.66 × 290.75
  4. Step 4: Simplify right side
    1,156.44x = 504,350.94
  5. Step 5: Solve for x
    x = 504,350.94/1,156.44
  6. Step 6: Final answer
    x = 436.12

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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.