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Finding the Fourth Proportional to 850.41, 1,274.99 and 525.11

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Solution

The fourth proportional to 850.41, 1,274.99 and 525.11 is: 787.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.41 : 1,274.99 = 525.11 : x
  2. Step 2: Convert to fraction form
    850.41/1,274.99 = 525.11/x
  3. Step 3: Cross multiply
    850.41x = 1,274.99 × 525.11
  4. Step 4: Simplify right side
    850.41x = 669,501.00
  5. Step 5: Solve for x
    x = 669,501.00/850.41
  6. Step 6: Final answer
    x = 787.27

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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.