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Finding the Fourth Proportional to 1,383.60, 2,075.59 and 505.99

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Solution

The fourth proportional to 1,383.60, 2,075.59 and 505.99 is: 759.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.60 : 2,075.59 = 505.99 : x
  2. Step 2: Convert to fraction form
    1,383.60/2,075.59 = 505.99/x
  3. Step 3: Cross multiply
    1,383.60x = 2,075.59 × 505.99
  4. Step 4: Simplify right side
    1,383.60x = 1,050,227.78
  5. Step 5: Solve for x
    x = 1,050,227.78/1,383.60
  6. Step 6: Final answer
    x = 759.05

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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.