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Finding the Fourth Proportional to 1,383.36, 2,075.60 and 561.70

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Solution

The fourth proportional to 1,383.36, 2,075.60 and 561.70 is: 842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.36 : 2,075.60 = 561.70 : x
  2. Step 2: Convert to fraction form
    1,383.36/2,075.60 = 561.70/x
  3. Step 3: Cross multiply
    1,383.36x = 2,075.60 × 561.70
  4. Step 4: Simplify right side
    1,383.36x = 1,165,864.75
  5. Step 5: Solve for x
    x = 1,165,864.75/1,383.36
  6. Step 6: Final answer
    x = 842.78

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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.