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Finding the Fourth Proportional to 1,302.99, 1,798.34 and 779.33

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Solution

The fourth proportional to 1,302.99, 1,798.34 and 779.33 is: 1,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.99 : 1,798.34 = 779.33 : x
  2. Step 2: Convert to fraction form
    1,302.99/1,798.34 = 779.33/x
  3. Step 3: Cross multiply
    1,302.99x = 1,798.34 × 779.33
  4. Step 4: Simplify right side
    1,302.99x = 1,401,487.42
  5. Step 5: Solve for x
    x = 1,401,487.42/1,302.99
  6. Step 6: Final answer
    x = 1,075.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.