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Finding the Fourth Proportional to 1,189.54, 1,782.64 and 495.46

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Solution

The fourth proportional to 1,189.54, 1,782.64 and 495.46 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.54 : 1,782.64 = 495.46 : x
  2. Step 2: Convert to fraction form
    1,189.54/1,782.64 = 495.46/x
  3. Step 3: Cross multiply
    1,189.54x = 1,782.64 × 495.46
  4. Step 4: Simplify right side
    1,189.54x = 883,226.81
  5. Step 5: Solve for x
    x = 883,226.81/1,189.54
  6. Step 6: Final answer
    x = 742.49

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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.