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Finding the Fourth Proportional to 952, 1,428.96 and 519.52

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Solution

The fourth proportional to 952, 1,428.96 and 519.52 is: 779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    952 : 1,428.96 = 519.52 : x
  2. Step 2: Convert to fraction form
    952/1,428.96 = 519.52/x
  3. Step 3: Cross multiply
    952x = 1,428.96 × 519.52
  4. Step 4: Simplify right side
    952x = 742,373.30
  5. Step 5: Solve for x
    x = 742,373.30/952
  6. Step 6: Final answer
    x = 779.80

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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.