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Finding the Fourth Proportional to 952.58, 1,429.07 and 519.63

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Solution

The fourth proportional to 952.58, 1,429.07 and 519.63 is: 779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.58 : 1,429.07 = 519.63 : x
  2. Step 2: Convert to fraction form
    952.58/1,429.07 = 519.63/x
  3. Step 3: Cross multiply
    952.58x = 1,429.07 × 519.63
  4. Step 4: Simplify right side
    952.58x = 742,585.05
  5. Step 5: Solve for x
    x = 742,585.05/952.58
  6. Step 6: Final answer
    x = 779.56

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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.