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Finding the Fourth Proportional to 834.88, 1,250.94 and 509.56

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Solution

The fourth proportional to 834.88, 1,250.94 and 509.56 is: 763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.88 : 1,250.94 = 509.56 : x
  2. Step 2: Convert to fraction form
    834.88/1,250.94 = 509.56/x
  3. Step 3: Cross multiply
    834.88x = 1,250.94 × 509.56
  4. Step 4: Simplify right side
    834.88x = 637,428.99
  5. Step 5: Solve for x
    x = 637,428.99/834.88
  6. Step 6: Final answer
    x = 763.50

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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.