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Finding the Fourth Proportional to 826.29, 1,239.93 and 436.58

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Solution

The fourth proportional to 826.29, 1,239.93 and 436.58 is: 655.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.29 : 1,239.93 = 436.58 : x
  2. Step 2: Convert to fraction form
    826.29/1,239.93 = 436.58/x
  3. Step 3: Cross multiply
    826.29x = 1,239.93 × 436.58
  4. Step 4: Simplify right side
    826.29x = 541,322.44
  5. Step 5: Solve for x
    x = 541,322.44/826.29
  6. Step 6: Final answer
    x = 655.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.