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Finding the Fourth Proportional to 913.45, 1,260.52 and 559.96

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Solution

The fourth proportional to 913.45, 1,260.52 and 559.96 is: 772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.45 : 1,260.52 = 559.96 : x
  2. Step 2: Convert to fraction form
    913.45/1,260.52 = 559.96/x
  3. Step 3: Cross multiply
    913.45x = 1,260.52 × 559.96
  4. Step 4: Simplify right side
    913.45x = 705,840.78
  5. Step 5: Solve for x
    x = 705,840.78/913.45
  6. Step 6: Final answer
    x = 772.72

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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.