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Finding the Fourth Proportional to 913.44, 1,259.83 and 559.06

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Solution

The fourth proportional to 913.44, 1,259.83 and 559.06 is: 771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.44 : 1,259.83 = 559.06 : x
  2. Step 2: Convert to fraction form
    913.44/1,259.83 = 559.06/x
  3. Step 3: Cross multiply
    913.44x = 1,259.83 × 559.06
  4. Step 4: Simplify right side
    913.44x = 704,320.56
  5. Step 5: Solve for x
    x = 704,320.56/913.44
  6. Step 6: Final answer
    x = 771.06

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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.