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Finding the Fourth Proportional to 1,271.97, 1,754.51 and 1,075.23

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Solution

The fourth proportional to 1,271.97, 1,754.51 and 1,075.23 is: 1,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.97 : 1,754.51 = 1,075.23 : x
  2. Step 2: Convert to fraction form
    1,271.97/1,754.51 = 1,075.23/x
  3. Step 3: Cross multiply
    1,271.97x = 1,754.51 × 1,075.23
  4. Step 4: Simplify right side
    1,271.97x = 1,886,496.41
  5. Step 5: Solve for x
    x = 1,886,496.41/1,271.97
  6. Step 6: Final answer
    x = 1,483.13

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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.