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Finding the Fourth Proportional to 788.27, 1,181.45 and 556.81

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Solution

The fourth proportional to 788.27, 1,181.45 and 556.81 is: 834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.27 : 1,181.45 = 556.81 : x
  2. Step 2: Convert to fraction form
    788.27/1,181.45 = 556.81/x
  3. Step 3: Cross multiply
    788.27x = 1,181.45 × 556.81
  4. Step 4: Simplify right side
    788.27x = 657,841.61
  5. Step 5: Solve for x
    x = 657,841.61/788.27
  6. Step 6: Final answer
    x = 834.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.