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Finding the Fourth Proportional to 1,384.12, 2,075.91 and 506.62

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Solution

The fourth proportional to 1,384.12, 2,075.91 and 506.62 is: 759.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.12 : 2,075.91 = 506.62 : x
  2. Step 2: Convert to fraction form
    1,384.12/2,075.91 = 506.62/x
  3. Step 3: Cross multiply
    1,384.12x = 2,075.91 × 506.62
  4. Step 4: Simplify right side
    1,384.12x = 1,051,697.52
  5. Step 5: Solve for x
    x = 1,051,697.52/1,384.12
  6. Step 6: Final answer
    x = 759.83

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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.