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Finding the Fourth Proportional to 952.07, 1,313.82 and 559.35

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Solution

The fourth proportional to 952.07, 1,313.82 and 559.35 is: 771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.07 : 1,313.82 = 559.35 : x
  2. Step 2: Convert to fraction form
    952.07/1,313.82 = 559.35/x
  3. Step 3: Cross multiply
    952.07x = 1,313.82 × 559.35
  4. Step 4: Simplify right side
    952.07x = 734,885.22
  5. Step 5: Solve for x
    x = 734,885.22/952.07
  6. Step 6: Final answer
    x = 771.89

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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.