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Finding the Fourth Proportional to 1,199.40, 1,654.41 and 779.58

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Solution

The fourth proportional to 1,199.40, 1,654.41 and 779.58 is: 1,075.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.40 : 1,654.41 = 779.58 : x
  2. Step 2: Convert to fraction form
    1,199.40/1,654.41 = 779.58/x
  3. Step 3: Cross multiply
    1,199.40x = 1,654.41 × 779.58
  4. Step 4: Simplify right side
    1,199.40x = 1,289,744.95
  5. Step 5: Solve for x
    x = 1,289,744.95/1,199.40
  6. Step 6: Final answer
    x = 1,075.33

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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.