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Finding the Fourth Proportional to 1,188.52, 1,782.37 and 458.35

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Solution

The fourth proportional to 1,188.52, 1,782.37 and 458.35 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.52 : 1,782.37 = 458.35 : x
  2. Step 2: Convert to fraction form
    1,188.52/1,782.37 = 458.35/x
  3. Step 3: Cross multiply
    1,188.52x = 1,782.37 × 458.35
  4. Step 4: Simplify right side
    1,188.52x = 816,949.29
  5. Step 5: Solve for x
    x = 816,949.29/1,188.52
  6. Step 6: Final answer
    x = 687.37

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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.