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Finding the Fourth Proportional to 829.90, 1,243.05 and 738.70

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Solution

The fourth proportional to 829.90, 1,243.05 and 738.70 is: 1,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.90 : 1,243.05 = 738.70 : x
  2. Step 2: Convert to fraction form
    829.90/1,243.05 = 738.70/x
  3. Step 3: Cross multiply
    829.90x = 1,243.05 × 738.70
  4. Step 4: Simplify right side
    829.90x = 918,241.04
  5. Step 5: Solve for x
    x = 918,241.04/829.90
  6. Step 6: Final answer
    x = 1,106.45

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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.