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Finding the Fourth Proportional to 1,409.19, 1,944.67 and 779.66

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Solution

The fourth proportional to 1,409.19, 1,944.67 and 779.66 is: 1,075.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.19 : 1,944.67 = 779.66 : x
  2. Step 2: Convert to fraction form
    1,409.19/1,944.67 = 779.66/x
  3. Step 3: Cross multiply
    1,409.19x = 1,944.67 × 779.66
  4. Step 4: Simplify right side
    1,409.19x = 1,516,181.41
  5. Step 5: Solve for x
    x = 1,516,181.41/1,409.19
  6. Step 6: Final answer
    x = 1,075.92

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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.