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Finding the Fourth Proportional to 1,383.90, 2,075.49 and 459.54

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Solution

The fourth proportional to 1,383.90, 2,075.49 and 459.54 is: 689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.90 : 2,075.49 = 459.54 : x
  2. Step 2: Convert to fraction form
    1,383.90/2,075.49 = 459.54/x
  3. Step 3: Cross multiply
    1,383.90x = 2,075.49 × 459.54
  4. Step 4: Simplify right side
    1,383.90x = 953,770.67
  5. Step 5: Solve for x
    x = 953,770.67/1,383.90
  6. Step 6: Final answer
    x = 689.19

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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.