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Finding the Fourth Proportional to 1,188.60, 1,782.96 and 322.94

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Solution

The fourth proportional to 1,188.60, 1,782.96 and 322.94 is: 484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.60 : 1,782.96 = 322.94 : x
  2. Step 2: Convert to fraction form
    1,188.60/1,782.96 = 322.94/x
  3. Step 3: Cross multiply
    1,188.60x = 1,782.96 × 322.94
  4. Step 4: Simplify right side
    1,188.60x = 575,789.10
  5. Step 5: Solve for x
    x = 575,789.10/1,188.60
  6. Step 6: Final answer
    x = 484.43

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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.