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Finding the Fourth Proportional to 1,383.22, 2,075.04 and 459.01

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Solution

The fourth proportional to 1,383.22, 2,075.04 and 459.01 is: 688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.22 : 2,075.04 = 459.01 : x
  2. Step 2: Convert to fraction form
    1,383.22/2,075.04 = 459.01/x
  3. Step 3: Cross multiply
    1,383.22x = 2,075.04 × 459.01
  4. Step 4: Simplify right side
    1,383.22x = 952,464.11
  5. Step 5: Solve for x
    x = 952,464.11/1,383.22
  6. Step 6: Final answer
    x = 688.58

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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.