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Finding the Fourth Proportional to 1,188.64, 1,782.64 and 419.04

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Solution

The fourth proportional to 1,188.64, 1,782.64 and 419.04 is: 628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.64 : 1,782.64 = 419.04 : x
  2. Step 2: Convert to fraction form
    1,188.64/1,782.64 = 419.04/x
  3. Step 3: Cross multiply
    1,188.64x = 1,782.64 × 419.04
  4. Step 4: Simplify right side
    1,188.64x = 746,997.47
  5. Step 5: Solve for x
    x = 746,997.47/1,188.64
  6. Step 6: Final answer
    x = 628.45

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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.