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Finding the Fourth Proportional to 779.56, 1,075.78 and 430.24

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Solution

The fourth proportional to 779.56, 1,075.78 and 430.24 is: 593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.56 : 1,075.78 = 430.24 : x
  2. Step 2: Convert to fraction form
    779.56/1,075.78 = 430.24/x
  3. Step 3: Cross multiply
    779.56x = 1,075.78 × 430.24
  4. Step 4: Simplify right side
    779.56x = 462,843.59
  5. Step 5: Solve for x
    x = 462,843.59/779.56
  6. Step 6: Final answer
    x = 593.72

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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.