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Finding the Fourth Proportional to 834.57, 1,250.37 and 526.77

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Solution

The fourth proportional to 834.57, 1,250.37 and 526.77 is: 789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.57 : 1,250.37 = 526.77 : x
  2. Step 2: Convert to fraction form
    834.57/1,250.37 = 526.77/x
  3. Step 3: Cross multiply
    834.57x = 1,250.37 × 526.77
  4. Step 4: Simplify right side
    834.57x = 658,657.40
  5. Step 5: Solve for x
    x = 658,657.40/834.57
  6. Step 6: Final answer
    x = 789.22

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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.