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Finding the Fourth Proportional to 779.60, 1,075.84 and 430.28

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Solution

The fourth proportional to 779.60, 1,075.84 and 430.28 is: 593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.60 : 1,075.84 = 430.28 : x
  2. Step 2: Convert to fraction form
    779.60/1,075.84 = 430.28/x
  3. Step 3: Cross multiply
    779.60x = 1,075.84 × 430.28
  4. Step 4: Simplify right side
    779.60x = 462,912.44
  5. Step 5: Solve for x
    x = 462,912.44/779.60
  6. Step 6: Final answer
    x = 593.78

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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.