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Finding the Fourth Proportional to 788.05, 1,087.70 and 456.42

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Solution

The fourth proportional to 788.05, 1,087.70 and 456.42 is: 629.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.05 : 1,087.70 = 456.42 : x
  2. Step 2: Convert to fraction form
    788.05/1,087.70 = 456.42/x
  3. Step 3: Cross multiply
    788.05x = 1,087.70 × 456.42
  4. Step 4: Simplify right side
    788.05x = 496,449.83
  5. Step 5: Solve for x
    x = 496,449.83/788.05
  6. Step 6: Final answer
    x = 629.98

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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.