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Finding the Fourth Proportional to 1,339.16, 1,847.90 and 779.64

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Solution

The fourth proportional to 1,339.16, 1,847.90 and 779.64 is: 1,075.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.16 : 1,847.90 = 779.64 : x
  2. Step 2: Convert to fraction form
    1,339.16/1,847.90 = 779.64/x
  3. Step 3: Cross multiply
    1,339.16x = 1,847.90 × 779.64
  4. Step 4: Simplify right side
    1,339.16x = 1,440,692.86
  5. Step 5: Solve for x
    x = 1,440,692.86/1,339.16
  6. Step 6: Final answer
    x = 1,075.82

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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.