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Finding the Fourth Proportional to 826.62, 1,242.68 and 646.20

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Solution

The fourth proportional to 826.62, 1,242.68 and 646.20 is: 971.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.62 : 1,242.68 = 646.20 : x
  2. Step 2: Convert to fraction form
    826.62/1,242.68 = 646.20/x
  3. Step 3: Cross multiply
    826.62x = 1,242.68 × 646.20
  4. Step 4: Simplify right side
    826.62x = 803,016.59
  5. Step 5: Solve for x
    x = 803,016.59/826.62
  6. Step 6: Final answer
    x = 971.45

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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.