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Finding the Fourth Proportional to 1,219.67, 1,829.50 and 781.14

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Solution

The fourth proportional to 1,219.67, 1,829.50 and 781.14 is: 1,171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.67 : 1,829.50 = 781.14 : x
  2. Step 2: Convert to fraction form
    1,219.67/1,829.50 = 781.14/x
  3. Step 3: Cross multiply
    1,219.67x = 1,829.50 × 781.14
  4. Step 4: Simplify right side
    1,219.67x = 1,429,095.63
  5. Step 5: Solve for x
    x = 1,429,095.63/1,219.67
  6. Step 6: Final answer
    x = 1,171.71

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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.