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Finding the Fourth Proportional to 779.13, 1,075.26 and 429.88

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Solution

The fourth proportional to 779.13, 1,075.26 and 429.88 is: 593.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.13 : 1,075.26 = 429.88 : x
  2. Step 2: Convert to fraction form
    779.13/1,075.26 = 429.88/x
  3. Step 3: Cross multiply
    779.13x = 1,075.26 × 429.88
  4. Step 4: Simplify right side
    779.13x = 462,232.77
  5. Step 5: Solve for x
    x = 462,232.77/779.13
  6. Step 6: Final answer
    x = 593.27

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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.