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Finding the Fourth Proportional to 1,408.70, 1,943.83 and 779.14

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Solution

The fourth proportional to 1,408.70, 1,943.83 and 779.14 is: 1,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.70 : 1,943.83 = 779.14 : x
  2. Step 2: Convert to fraction form
    1,408.70/1,943.83 = 779.14/x
  3. Step 3: Cross multiply
    1,408.70x = 1,943.83 × 779.14
  4. Step 4: Simplify right side
    1,408.70x = 1,514,515.71
  5. Step 5: Solve for x
    x = 1,514,515.71/1,408.70
  6. Step 6: Final answer
    x = 1,075.12

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Why These Related Problems?

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