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Finding the Fourth Proportional to 823.03, 1,135.75 and 450.02

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Solution

The fourth proportional to 823.03, 1,135.75 and 450.02 is: 621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.03 : 1,135.75 = 450.02 : x
  2. Step 2: Convert to fraction form
    823.03/1,135.75 = 450.02/x
  3. Step 3: Cross multiply
    823.03x = 1,135.75 × 450.02
  4. Step 4: Simplify right side
    823.03x = 511,112.77
  5. Step 5: Solve for x
    x = 511,112.77/823.03
  6. Step 6: Final answer
    x = 621.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.