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Finding the Fourth Proportional to 1,408.82, 1,944 and 779.30

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Solution

The fourth proportional to 1,408.82, 1,944 and 779.30 is: 1,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.82 : 1,944 = 779.30 : x
  2. Step 2: Convert to fraction form
    1,408.82/1,944 = 779.30/x
  3. Step 3: Cross multiply
    1,408.82x = 1,944 × 779.30
  4. Step 4: Simplify right side
    1,408.82x = 1,514,959.20
  5. Step 5: Solve for x
    x = 1,514,959.20/1,408.82
  6. Step 6: Final answer
    x = 1,075.34

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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.