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Finding the Fourth Proportional to 1,109.90, 1,529.96 and 829.71

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Solution

The fourth proportional to 1,109.90, 1,529.96 and 829.71 is: 1,143.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.90 : 1,529.96 = 829.71 : x
  2. Step 2: Convert to fraction form
    1,109.90/1,529.96 = 829.71/x
  3. Step 3: Cross multiply
    1,109.90x = 1,529.96 × 829.71
  4. Step 4: Simplify right side
    1,109.90x = 1,269,418.96
  5. Step 5: Solve for x
    x = 1,269,418.96/1,109.90
  6. Step 6: Final answer
    x = 1,143.72

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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.