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Finding the Fourth Proportional to 1,219.53, 1,829.14 and 719.49

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Solution

The fourth proportional to 1,219.53, 1,829.14 and 719.49 is: 1,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.53 : 1,829.14 = 719.49 : x
  2. Step 2: Convert to fraction form
    1,219.53/1,829.14 = 719.49/x
  3. Step 3: Cross multiply
    1,219.53x = 1,829.14 × 719.49
  4. Step 4: Simplify right side
    1,219.53x = 1,316,046.14
  5. Step 5: Solve for x
    x = 1,316,046.14/1,219.53
  6. Step 6: Final answer
    x = 1,079.14

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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.