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Finding the Fourth Proportional to 1,233.72, 1,851.49 and 584.45

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Solution

The fourth proportional to 1,233.72, 1,851.49 and 584.45 is: 877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.72 : 1,851.49 = 584.45 : x
  2. Step 2: Convert to fraction form
    1,233.72/1,851.49 = 584.45/x
  3. Step 3: Cross multiply
    1,233.72x = 1,851.49 × 584.45
  4. Step 4: Simplify right side
    1,233.72x = 1,082,103.33
  5. Step 5: Solve for x
    x = 1,082,103.33/1,233.72
  6. Step 6: Final answer
    x = 877.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.