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Finding the Fourth Proportional to 787.38, 1,181.13 and 210.25

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Solution

The fourth proportional to 787.38, 1,181.13 and 210.25 is: 315.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.38 : 1,181.13 = 210.25 : x
  2. Step 2: Convert to fraction form
    787.38/1,181.13 = 210.25/x
  3. Step 3: Cross multiply
    787.38x = 1,181.13 × 210.25
  4. Step 4: Simplify right side
    787.38x = 248,332.58
  5. Step 5: Solve for x
    x = 248,332.58/787.38
  6. Step 6: Final answer
    x = 315.39

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