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Finding the Fourth Proportional to 826.08, 1,229.40 and 795.36

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Solution

The fourth proportional to 826.08, 1,229.40 and 795.36 is: 1,183.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.08 : 1,229.40 = 795.36 : x
  2. Step 2: Convert to fraction form
    826.08/1,229.40 = 795.36/x
  3. Step 3: Cross multiply
    826.08x = 1,229.40 × 795.36
  4. Step 4: Simplify right side
    826.08x = 977,815.58
  5. Step 5: Solve for x
    x = 977,815.58/826.08
  6. Step 6: Final answer
    x = 1,183.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.