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Finding the Fourth Proportional to 779.12, 1,075.20 and 429.84

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Solution

The fourth proportional to 779.12, 1,075.20 and 429.84 is: 593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.12 : 1,075.20 = 429.84 : x
  2. Step 2: Convert to fraction form
    779.12/1,075.20 = 429.84/x
  3. Step 3: Cross multiply
    779.12x = 1,075.20 × 429.84
  4. Step 4: Simplify right side
    779.12x = 462,163.97
  5. Step 5: Solve for x
    x = 462,163.97/779.12
  6. Step 6: Final answer
    x = 593.19

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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.