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Finding the Fourth Proportional to 1,109.73, 1,529.37 and 829.47

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Solution

The fourth proportional to 1,109.73, 1,529.37 and 829.47 is: 1,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.73 : 1,529.37 = 829.47 : x
  2. Step 2: Convert to fraction form
    1,109.73/1,529.37 = 829.47/x
  3. Step 3: Cross multiply
    1,109.73x = 1,529.37 × 829.47
  4. Step 4: Simplify right side
    1,109.73x = 1,268,566.53
  5. Step 5: Solve for x
    x = 1,268,566.53/1,109.73
  6. Step 6: Final answer
    x = 1,143.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.