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Finding the Fourth Proportional to 779.02, 1,075.08 and 429.73

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Solution

The fourth proportional to 779.02, 1,075.08 and 429.73 is: 593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.02 : 1,075.08 = 429.73 : x
  2. Step 2: Convert to fraction form
    779.02/1,075.08 = 429.73/x
  3. Step 3: Cross multiply
    779.02x = 1,075.08 × 429.73
  4. Step 4: Simplify right side
    779.02x = 461,994.13
  5. Step 5: Solve for x
    x = 461,994.13/779.02
  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.