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Finding the Fourth Proportional to 1,189.29, 1,782.27 and 495.21

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Solution

The fourth proportional to 1,189.29, 1,782.27 and 495.21 is: 742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.29 : 1,782.27 = 495.21 : x
  2. Step 2: Convert to fraction form
    1,189.29/1,782.27 = 495.21/x
  3. Step 3: Cross multiply
    1,189.29x = 1,782.27 × 495.21
  4. Step 4: Simplify right side
    1,189.29x = 882,597.93
  5. Step 5: Solve for x
    x = 882,597.93/1,189.29
  6. Step 6: Final answer
    x = 742.12

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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.