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Finding the Fourth Proportional to 826.26, 1,236.71 and 435.71

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Solution

The fourth proportional to 826.26, 1,236.71 and 435.71 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.26 : 1,236.71 = 435.71 : x
  2. Step 2: Convert to fraction form
    826.26/1,236.71 = 435.71/x
  3. Step 3: Cross multiply
    826.26x = 1,236.71 × 435.71
  4. Step 4: Simplify right side
    826.26x = 538,838.55
  5. Step 5: Solve for x
    x = 538,838.55/826.26
  6. Step 6: Final answer
    x = 652.14

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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.