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Finding the Fourth Proportional to 788.02, 1,087.41 and 456.42

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Solution

The fourth proportional to 788.02, 1,087.41 and 456.42 is: 629.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.02 : 1,087.41 = 456.42 : x
  2. Step 2: Convert to fraction form
    788.02/1,087.41 = 456.42/x
  3. Step 3: Cross multiply
    788.02x = 1,087.41 × 456.42
  4. Step 4: Simplify right side
    788.02x = 496,315.67
  5. Step 5: Solve for x
    x = 496,315.67/788.02
  6. Step 6: Final answer
    x = 629.83

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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.