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Finding the Fourth Proportional to 834.72, 1,151.98 and 485.40

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Solution

The fourth proportional to 834.72, 1,151.98 and 485.40 is: 669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.72 : 1,151.98 = 485.40 : x
  2. Step 2: Convert to fraction form
    834.72/1,151.98 = 485.40/x
  3. Step 3: Cross multiply
    834.72x = 1,151.98 × 485.40
  4. Step 4: Simplify right side
    834.72x = 559,171.09
  5. Step 5: Solve for x
    x = 559,171.09/834.72
  6. Step 6: Final answer
    x = 669.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.