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Finding the Fourth Proportional to 952.19, 1,313.93 and 559.07

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Solution

The fourth proportional to 952.19, 1,313.93 and 559.07 is: 771.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.19 : 1,313.93 = 559.07 : x
  2. Step 2: Convert to fraction form
    952.19/1,313.93 = 559.07/x
  3. Step 3: Cross multiply
    952.19x = 1,313.93 × 559.07
  4. Step 4: Simplify right side
    952.19x = 734,576.05
  5. Step 5: Solve for x
    x = 734,576.05/952.19
  6. Step 6: Final answer
    x = 771.46

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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.