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Finding the Fourth Proportional to 1,131.50, 1,696.93 and 309.75

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Solution

The fourth proportional to 1,131.50, 1,696.93 and 309.75 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.50 : 1,696.93 = 309.75 : x
  2. Step 2: Convert to fraction form
    1,131.50/1,696.93 = 309.75/x
  3. Step 3: Cross multiply
    1,131.50x = 1,696.93 × 309.75
  4. Step 4: Simplify right side
    1,131.50x = 525,624.07
  5. Step 5: Solve for x
    x = 525,624.07/1,131.50
  6. Step 6: Final answer
    x = 464.54

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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.