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Finding the Fourth Proportional to 787.50, 1,181.25 and 325.53

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Solution

The fourth proportional to 787.50, 1,181.25 and 325.53 is: 488.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,181.25 = 325.53 : x
  2. Step 2: Convert to fraction form
    787.50/1,181.25 = 325.53/x
  3. Step 3: Cross multiply
    787.50x = 1,181.25 × 325.53
  4. Step 4: Simplify right side
    787.50x = 384,532.31
  5. Step 5: Solve for x
    x = 384,532.31/787.50
  6. Step 6: Final answer
    x = 488.30

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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.