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Finding the Fourth Proportional to 779.10, 1,075.14 and 429.78

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Solution

The fourth proportional to 779.10, 1,075.14 and 429.78 is: 593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.10 : 1,075.14 = 429.78 : x
  2. Step 2: Convert to fraction form
    779.10/1,075.14 = 429.78/x
  3. Step 3: Cross multiply
    779.10x = 1,075.14 × 429.78
  4. Step 4: Simplify right side
    779.10x = 462,073.67
  5. Step 5: Solve for x
    x = 462,073.67/779.10
  6. Step 6: Final answer
    x = 593.09

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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.