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Finding the Fourth Proportional to 993.03, 1,490.52 and 829.55

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Solution

The fourth proportional to 993.03, 1,490.52 and 829.55 is: 1,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.03 : 1,490.52 = 829.55 : x
  2. Step 2: Convert to fraction form
    993.03/1,490.52 = 829.55/x
  3. Step 3: Cross multiply
    993.03x = 1,490.52 × 829.55
  4. Step 4: Simplify right side
    993.03x = 1,236,453.41
  5. Step 5: Solve for x
    x = 1,236,453.41/993.03
  6. Step 6: Final answer
    x = 1,245.13

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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.