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Finding the Fourth Proportional to 830.44, 1,244.46 and 501.43

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Solution

The fourth proportional to 830.44, 1,244.46 and 501.43 is: 751.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.44 : 1,244.46 = 501.43 : x
  2. Step 2: Convert to fraction form
    830.44/1,244.46 = 501.43/x
  3. Step 3: Cross multiply
    830.44x = 1,244.46 × 501.43
  4. Step 4: Simplify right side
    830.44x = 624,009.58
  5. Step 5: Solve for x
    x = 624,009.58/830.44
  6. Step 6: Final answer
    x = 751.42

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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.