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Finding the Fourth Proportional to 1,188.32, 1,782.72 and 419.36

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Solution

The fourth proportional to 1,188.32, 1,782.72 and 419.36 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.32 : 1,782.72 = 419.36 : x
  2. Step 2: Convert to fraction form
    1,188.32/1,782.72 = 419.36/x
  3. Step 3: Cross multiply
    1,188.32x = 1,782.72 × 419.36
  4. Step 4: Simplify right side
    1,188.32x = 747,601.46
  5. Step 5: Solve for x
    x = 747,601.46/1,188.32
  6. Step 6: Final answer
    x = 629.12

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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.