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Finding the Fourth Proportional to 850.71, 1,274.67 and 525.41

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Solution

The fourth proportional to 850.71, 1,274.67 and 525.41 is: 787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.71 : 1,274.67 = 525.41 : x
  2. Step 2: Convert to fraction form
    850.71/1,274.67 = 525.41/x
  3. Step 3: Cross multiply
    850.71x = 1,274.67 × 525.41
  4. Step 4: Simplify right side
    850.71x = 669,721.18
  5. Step 5: Solve for x
    x = 669,721.18/850.71
  6. Step 6: Final answer
    x = 787.25

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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.