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Finding the Fourth Proportional to 779.14, 1,075.02 and 499.24

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Solution

The fourth proportional to 779.14, 1,075.02 and 499.24 is: 688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.14 : 1,075.02 = 499.24 : x
  2. Step 2: Convert to fraction form
    779.14/1,075.02 = 499.24/x
  3. Step 3: Cross multiply
    779.14x = 1,075.02 × 499.24
  4. Step 4: Simplify right side
    779.14x = 536,692.98
  5. Step 5: Solve for x
    x = 536,692.98/779.14
  6. Step 6: Final answer
    x = 688.83

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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.