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Finding the Fourth Proportional to 1,442.52, 1,990.67 and 779.37

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Solution

The fourth proportional to 1,442.52, 1,990.67 and 779.37 is: 1,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.52 : 1,990.67 = 779.37 : x
  2. Step 2: Convert to fraction form
    1,442.52/1,990.67 = 779.37/x
  3. Step 3: Cross multiply
    1,442.52x = 1,990.67 × 779.37
  4. Step 4: Simplify right side
    1,442.52x = 1,551,465.45
  5. Step 5: Solve for x
    x = 1,551,465.45/1,442.52
  6. Step 6: Final answer
    x = 1,075.53

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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.