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Finding the Fourth Proportional to 834.98, 1,151.72 and 582.50

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Solution

The fourth proportional to 834.98, 1,151.72 and 582.50 is: 803.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.98 : 1,151.72 = 582.50 : x
  2. Step 2: Convert to fraction form
    834.98/1,151.72 = 582.50/x
  3. Step 3: Cross multiply
    834.98x = 1,151.72 × 582.50
  4. Step 4: Simplify right side
    834.98x = 670,876.87
  5. Step 5: Solve for x
    x = 670,876.87/834.98
  6. Step 6: Final answer
    x = 803.46

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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.