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Finding the Fourth Proportional to 1,188.51, 1,782.27 and 457.98

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Solution

The fourth proportional to 1,188.51, 1,782.27 and 457.98 is: 686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.51 : 1,782.27 = 457.98 : x
  2. Step 2: Convert to fraction form
    1,188.51/1,782.27 = 457.98/x
  3. Step 3: Cross multiply
    1,188.51x = 1,782.27 × 457.98
  4. Step 4: Simplify right side
    1,188.51x = 816,244.01
  5. Step 5: Solve for x
    x = 816,244.01/1,188.51
  6. Step 6: Final answer
    x = 686.78

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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.