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Finding the Fourth Proportional to 1,408.42, 1,943.72 and 779.05

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Solution

The fourth proportional to 1,408.42, 1,943.72 and 779.05 is: 1,075.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.42 : 1,943.72 = 779.05 : x
  2. Step 2: Convert to fraction form
    1,408.42/1,943.72 = 779.05/x
  3. Step 3: Cross multiply
    1,408.42x = 1,943.72 × 779.05
  4. Step 4: Simplify right side
    1,408.42x = 1,514,255.07
  5. Step 5: Solve for x
    x = 1,514,255.07/1,408.42
  6. Step 6: Final answer
    x = 1,075.14

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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.