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Finding the Fourth Proportional to 787.68, 1,181.52 and 544.59

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Solution

The fourth proportional to 787.68, 1,181.52 and 544.59 is: 816.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.68 : 1,181.52 = 544.59 : x
  2. Step 2: Convert to fraction form
    787.68/1,181.52 = 544.59/x
  3. Step 3: Cross multiply
    787.68x = 1,181.52 × 544.59
  4. Step 4: Simplify right side
    787.68x = 643,443.98
  5. Step 5: Solve for x
    x = 643,443.98/787.68
  6. Step 6: Final answer
    x = 816.89

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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.