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Finding the Fourth Proportional to 873.26, 1,309.26 and 526.85

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Solution

The fourth proportional to 873.26, 1,309.26 and 526.85 is: 789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.26 : 1,309.26 = 526.85 : x
  2. Step 2: Convert to fraction form
    873.26/1,309.26 = 526.85/x
  3. Step 3: Cross multiply
    873.26x = 1,309.26 × 526.85
  4. Step 4: Simplify right side
    873.26x = 689,783.63
  5. Step 5: Solve for x
    x = 689,783.63/873.26
  6. Step 6: Final answer
    x = 789.89

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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.