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Finding the Fourth Proportional to 953.91, 1,428.03 and 519.75

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Solution

The fourth proportional to 953.91, 1,428.03 and 519.75 is: 778.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.91 : 1,428.03 = 519.75 : x
  2. Step 2: Convert to fraction form
    953.91/1,428.03 = 519.75/x
  3. Step 3: Cross multiply
    953.91x = 1,428.03 × 519.75
  4. Step 4: Simplify right side
    953.91x = 742,218.59
  5. Step 5: Solve for x
    x = 742,218.59/953.91
  6. Step 6: Final answer
    x = 778.08

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