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Finding the Fourth Proportional to 1,189.32, 1,782.47 and 495.56

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Solution

The fourth proportional to 1,189.32, 1,782.47 and 495.56 is: 742.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.32 : 1,782.47 = 495.56 : x
  2. Step 2: Convert to fraction form
    1,189.32/1,782.47 = 495.56/x
  3. Step 3: Cross multiply
    1,189.32x = 1,782.47 × 495.56
  4. Step 4: Simplify right side
    1,189.32x = 883,309.44
  5. Step 5: Solve for x
    x = 883,309.44/1,189.32
  6. Step 6: Final answer
    x = 742.70

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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.