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Finding the Fourth Proportional to 834.72, 1,250.70 and 509.16

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Solution

The fourth proportional to 834.72, 1,250.70 and 509.16 is: 762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.72 : 1,250.70 = 509.16 : x
  2. Step 2: Convert to fraction form
    834.72/1,250.70 = 509.16/x
  3. Step 3: Cross multiply
    834.72x = 1,250.70 × 509.16
  4. Step 4: Simplify right side
    834.72x = 636,806.41
  5. Step 5: Solve for x
    x = 636,806.41/834.72
  6. Step 6: Final answer
    x = 762.90

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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.