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Finding the Fourth Proportional to 787.75, 1,181.54 and 569.41

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Solution

The fourth proportional to 787.75, 1,181.54 and 569.41 is: 854.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 1,181.54 = 569.41 : x
  2. Step 2: Convert to fraction form
    787.75/1,181.54 = 569.41/x
  3. Step 3: Cross multiply
    787.75x = 1,181.54 × 569.41
  4. Step 4: Simplify right side
    787.75x = 672,779.16
  5. Step 5: Solve for x
    x = 672,779.16/787.75
  6. Step 6: Final answer
    x = 854.05

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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.