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Finding the Fourth Proportional to 1,378.92, 2,065.18 and 829.90

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Solution

The fourth proportional to 1,378.92, 2,065.18 and 829.90 is: 1,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.92 : 2,065.18 = 829.90 : x
  2. Step 2: Convert to fraction form
    1,378.92/2,065.18 = 829.90/x
  3. Step 3: Cross multiply
    1,378.92x = 2,065.18 × 829.90
  4. Step 4: Simplify right side
    1,378.92x = 1,713,892.88
  5. Step 5: Solve for x
    x = 1,713,892.88/1,378.92
  6. Step 6: Final answer
    x = 1,242.92

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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.