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Finding the Fourth Proportional to 829.44, 1,237.68 and 732.24

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Solution

The fourth proportional to 829.44, 1,237.68 and 732.24 is: 1,092.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.44 : 1,237.68 = 732.24 : x
  2. Step 2: Convert to fraction form
    829.44/1,237.68 = 732.24/x
  3. Step 3: Cross multiply
    829.44x = 1,237.68 × 732.24
  4. Step 4: Simplify right side
    829.44x = 906,278.80
  5. Step 5: Solve for x
    x = 906,278.80/829.44
  6. Step 6: Final answer
    x = 1,092.64

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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.