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Finding the Fourth Proportional to 1,383.33, 2,075.24 and 690.03

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Solution

The fourth proportional to 1,383.33, 2,075.24 and 690.03 is: 1,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.33 : 2,075.24 = 690.03 : x
  2. Step 2: Convert to fraction form
    1,383.33/2,075.24 = 690.03/x
  3. Step 3: Cross multiply
    1,383.33x = 2,075.24 × 690.03
  4. Step 4: Simplify right side
    1,383.33x = 1,431,974.41
  5. Step 5: Solve for x
    x = 1,431,974.41/1,383.33
  6. Step 6: Final answer
    x = 1,035.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.