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Finding the Fourth Proportional to 1,188.79, 1,782.23 and 495.98

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Solution

The fourth proportional to 1,188.79, 1,782.23 and 495.98 is: 743.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.79 : 1,782.23 = 495.98 : x
  2. Step 2: Convert to fraction form
    1,188.79/1,782.23 = 495.98/x
  3. Step 3: Cross multiply
    1,188.79x = 1,782.23 × 495.98
  4. Step 4: Simplify right side
    1,188.79x = 883,947.96
  5. Step 5: Solve for x
    x = 883,947.96/1,188.79
  6. Step 6: Final answer
    x = 743.57

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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.