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Finding the Fourth Proportional to 1,188.64, 1,782.28 and 408.20

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Solution

The fourth proportional to 1,188.64, 1,782.28 and 408.20 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.64 : 1,782.28 = 408.20 : x
  2. Step 2: Convert to fraction form
    1,188.64/1,782.28 = 408.20/x
  3. Step 3: Cross multiply
    1,188.64x = 1,782.28 × 408.20
  4. Step 4: Simplify right side
    1,188.64x = 727,526.70
  5. Step 5: Solve for x
    x = 727,526.70/1,188.64
  6. Step 6: Final answer
    x = 612.07

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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.