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Finding the Fourth Proportional to 1,217.23, 1,679.66 and 719.86

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Solution

The fourth proportional to 1,217.23, 1,679.66 and 719.86 is: 993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.23 : 1,679.66 = 719.86 : x
  2. Step 2: Convert to fraction form
    1,217.23/1,679.66 = 719.86/x
  3. Step 3: Cross multiply
    1,217.23x = 1,679.66 × 719.86
  4. Step 4: Simplify right side
    1,217.23x = 1,209,120.05
  5. Step 5: Solve for x
    x = 1,209,120.05/1,217.23
  6. Step 6: Final answer
    x = 993.34

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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.