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Finding the Fourth Proportional to 1,315.32, 1,969.49 and 794.62

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Solution

The fourth proportional to 1,315.32, 1,969.49 and 794.62 is: 1,189.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.32 : 1,969.49 = 794.62 : x
  2. Step 2: Convert to fraction form
    1,315.32/1,969.49 = 794.62/x
  3. Step 3: Cross multiply
    1,315.32x = 1,969.49 × 794.62
  4. Step 4: Simplify right side
    1,315.32x = 1,564,996.14
  5. Step 5: Solve for x
    x = 1,564,996.14/1,315.32
  6. Step 6: Final answer
    x = 1,189.82

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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.