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Finding the Fourth Proportional to 779.28, 1,075.46 and 429.98

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Solution

The fourth proportional to 779.28, 1,075.46 and 429.98 is: 593.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.28 : 1,075.46 = 429.98 : x
  2. Step 2: Convert to fraction form
    779.28/1,075.46 = 429.98/x
  3. Step 3: Cross multiply
    779.28x = 1,075.46 × 429.98
  4. Step 4: Simplify right side
    779.28x = 462,418.76
  5. Step 5: Solve for x
    x = 462,418.76/779.28
  6. Step 6: Final answer
    x = 593.39

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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.