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Finding the Fourth Proportional to 906.48, 1,359.20 and 829.08

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Solution

The fourth proportional to 906.48, 1,359.20 and 829.08 is: 1,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.48 : 1,359.20 = 829.08 : x
  2. Step 2: Convert to fraction form
    906.48/1,359.20 = 829.08/x
  3. Step 3: Cross multiply
    906.48x = 1,359.20 × 829.08
  4. Step 4: Simplify right side
    906.48x = 1,126,885.54
  5. Step 5: Solve for x
    x = 1,126,885.54/906.48
  6. Step 6: Final answer
    x = 1,243.14

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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.