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Finding the Fourth Proportional to 788.04, 1,087.43 and 456.41

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Solution

The fourth proportional to 788.04, 1,087.43 and 456.41 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.04 : 1,087.43 = 456.41 : x
  2. Step 2: Convert to fraction form
    788.04/1,087.43 = 456.41/x
  3. Step 3: Cross multiply
    788.04x = 1,087.43 × 456.41
  4. Step 4: Simplify right side
    788.04x = 496,309.63
  5. Step 5: Solve for x
    x = 496,309.63/788.04
  6. Step 6: Final answer
    x = 629.80

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Why These Related Problems?

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