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Finding the Fourth Proportional to 814.05, 1,219.05 and 521.10

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Solution

The fourth proportional to 814.05, 1,219.05 and 521.10 is: 780.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.05 : 1,219.05 = 521.10 : x
  2. Step 2: Convert to fraction form
    814.05/1,219.05 = 521.10/x
  3. Step 3: Cross multiply
    814.05x = 1,219.05 × 521.10
  4. Step 4: Simplify right side
    814.05x = 635,246.96
  5. Step 5: Solve for x
    x = 635,246.96/814.05
  6. Step 6: Final answer
    x = 780.35

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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.