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Finding the Fourth Proportional to 913.33, 1,259.89 and 559.34

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Solution

The fourth proportional to 913.33, 1,259.89 and 559.34 is: 771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.33 : 1,259.89 = 559.34 : x
  2. Step 2: Convert to fraction form
    913.33/1,259.89 = 559.34/x
  3. Step 3: Cross multiply
    913.33x = 1,259.89 × 559.34
  4. Step 4: Simplify right side
    913.33x = 704,706.87
  5. Step 5: Solve for x
    x = 704,706.87/913.33
  6. Step 6: Final answer
    x = 771.58

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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.