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Finding the Fourth Proportional to 1,188.45, 1,782.75 and 458.03

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Solution

The fourth proportional to 1,188.45, 1,782.75 and 458.03 is: 687.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.45 : 1,782.75 = 458.03 : x
  2. Step 2: Convert to fraction form
    1,188.45/1,782.75 = 458.03/x
  3. Step 3: Cross multiply
    1,188.45x = 1,782.75 × 458.03
  4. Step 4: Simplify right side
    1,188.45x = 816,552.98
  5. Step 5: Solve for x
    x = 816,552.98/1,188.45
  6. Step 6: Final answer
    x = 687.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.