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Finding the Fourth Proportional to 788.05, 1,087.59 and 456.46

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Solution

The fourth proportional to 788.05, 1,087.59 and 456.46 is: 629.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.05 : 1,087.59 = 456.46 : x
  2. Step 2: Convert to fraction form
    788.05/1,087.59 = 456.46/x
  3. Step 3: Cross multiply
    788.05x = 1,087.59 × 456.46
  4. Step 4: Simplify right side
    788.05x = 496,441.33
  5. Step 5: Solve for x
    x = 496,441.33/788.05
  6. Step 6: Final answer
    x = 629.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.