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Finding the Fourth Proportional to 1,155.36, 1,729.38 and 829.14

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Solution

The fourth proportional to 1,155.36, 1,729.38 and 829.14 is: 1,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.36 : 1,729.38 = 829.14 : x
  2. Step 2: Convert to fraction form
    1,155.36/1,729.38 = 829.14/x
  3. Step 3: Cross multiply
    1,155.36x = 1,729.38 × 829.14
  4. Step 4: Simplify right side
    1,155.36x = 1,433,898.13
  5. Step 5: Solve for x
    x = 1,433,898.13/1,155.36
  6. Step 6: Final answer
    x = 1,241.08

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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.