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Finding the Fourth Proportional to 829.40, 1,244.14 and 418.05

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Solution

The fourth proportional to 829.40, 1,244.14 and 418.05 is: 627.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.40 : 1,244.14 = 418.05 : x
  2. Step 2: Convert to fraction form
    829.40/1,244.14 = 418.05/x
  3. Step 3: Cross multiply
    829.40x = 1,244.14 × 418.05
  4. Step 4: Simplify right side
    829.40x = 520,111.68
  5. Step 5: Solve for x
    x = 520,111.68/829.40
  6. Step 6: Final answer
    x = 627.10

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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.