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Finding the Fourth Proportional to 1,188.86, 1,782.32 and 496.04

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Solution

The fourth proportional to 1,188.86, 1,782.32 and 496.04 is: 743.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.86 : 1,782.32 = 496.04 : x
  2. Step 2: Convert to fraction form
    1,188.86/1,782.32 = 496.04/x
  3. Step 3: Cross multiply
    1,188.86x = 1,782.32 × 496.04
  4. Step 4: Simplify right side
    1,188.86x = 884,103.99
  5. Step 5: Solve for x
    x = 884,103.99/1,188.86
  6. Step 6: Final answer
    x = 743.66

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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.