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Finding the Fourth Proportional to 779.15, 1,075.21 and 429.83

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Solution

The fourth proportional to 779.15, 1,075.21 and 429.83 is: 593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.15 : 1,075.21 = 429.83 : x
  2. Step 2: Convert to fraction form
    779.15/1,075.21 = 429.83/x
  3. Step 3: Cross multiply
    779.15x = 1,075.21 × 429.83
  4. Step 4: Simplify right side
    779.15x = 462,157.51
  5. Step 5: Solve for x
    x = 462,157.51/779.15
  6. Step 6: Final answer
    x = 593.16

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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.