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Finding the Fourth Proportional to 952.69, 1,427.56 and 586.84

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Solution

The fourth proportional to 952.69, 1,427.56 and 586.84 is: 879.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.69 : 1,427.56 = 586.84 : x
  2. Step 2: Convert to fraction form
    952.69/1,427.56 = 586.84/x
  3. Step 3: Cross multiply
    952.69x = 1,427.56 × 586.84
  4. Step 4: Simplify right side
    952.69x = 837,749.31
  5. Step 5: Solve for x
    x = 837,749.31/952.69
  6. Step 6: Final answer
    x = 879.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.