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Finding the Fourth Proportional to 1,442.82, 1,991.09 and 779.67

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Solution

The fourth proportional to 1,442.82, 1,991.09 and 779.67 is: 1,075.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.82 : 1,991.09 = 779.67 : x
  2. Step 2: Convert to fraction form
    1,442.82/1,991.09 = 779.67/x
  3. Step 3: Cross multiply
    1,442.82x = 1,991.09 × 779.67
  4. Step 4: Simplify right side
    1,442.82x = 1,552,379.29
  5. Step 5: Solve for x
    x = 1,552,379.29/1,442.82
  6. Step 6: Final answer
    x = 1,075.94

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1.5x scale

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.