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Finding the Fourth Proportional to 1,188.72, 1,783.36 and 366.92

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Solution

The fourth proportional to 1,188.72, 1,783.36 and 366.92 is: 550.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.72 : 1,783.36 = 366.92 : x
  2. Step 2: Convert to fraction form
    1,188.72/1,783.36 = 366.92/x
  3. Step 3: Cross multiply
    1,188.72x = 1,783.36 × 366.92
  4. Step 4: Simplify right side
    1,188.72x = 654,350.45
  5. Step 5: Solve for x
    x = 654,350.45/1,188.72
  6. Step 6: Final answer
    x = 550.47

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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.