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Finding the Fourth Proportional to 814.60, 1,219.74 and 429.04

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Solution

The fourth proportional to 814.60, 1,219.74 and 429.04 is: 642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.60 : 1,219.74 = 429.04 : x
  2. Step 2: Convert to fraction form
    814.60/1,219.74 = 429.04/x
  3. Step 3: Cross multiply
    814.60x = 1,219.74 × 429.04
  4. Step 4: Simplify right side
    814.60x = 523,317.25
  5. Step 5: Solve for x
    x = 523,317.25/814.60
  6. Step 6: Final answer
    x = 642.42

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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.