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Finding the Fourth Proportional to 1,311.69, 1,812.73 and 1,075.28

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Solution

The fourth proportional to 1,311.69, 1,812.73 and 1,075.28 is: 1,486.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.69 : 1,812.73 = 1,075.28 : x
  2. Step 2: Convert to fraction form
    1,311.69/1,812.73 = 1,075.28/x
  3. Step 3: Cross multiply
    1,311.69x = 1,812.73 × 1,075.28
  4. Step 4: Simplify right side
    1,311.69x = 1,949,185.98
  5. Step 5: Solve for x
    x = 1,949,185.98/1,311.69
  6. Step 6: Final answer
    x = 1,486.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.