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Finding the Fourth Proportional to 779.07, 1,075.11 and 429.75

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Solution

The fourth proportional to 779.07, 1,075.11 and 429.75 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.07 : 1,075.11 = 429.75 : x
  2. Step 2: Convert to fraction form
    779.07/1,075.11 = 429.75/x
  3. Step 3: Cross multiply
    779.07x = 1,075.11 × 429.75
  4. Step 4: Simplify right side
    779.07x = 462,028.52
  5. Step 5: Solve for x
    x = 462,028.52/779.07
  6. Step 6: Final answer
    x = 593.05

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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.