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Finding the Fourth Proportional to 1,408.53, 1,943.66 and 779.06

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Solution

The fourth proportional to 1,408.53, 1,943.66 and 779.06 is: 1,075.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.53 : 1,943.66 = 779.06 : x
  2. Step 2: Convert to fraction form
    1,408.53/1,943.66 = 779.06/x
  3. Step 3: Cross multiply
    1,408.53x = 1,943.66 × 779.06
  4. Step 4: Simplify right side
    1,408.53x = 1,514,234.57
  5. Step 5: Solve for x
    x = 1,514,234.57/1,408.53
  6. Step 6: Final answer
    x = 1,075.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.