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Finding the Fourth Proportional to 719.74, 992.85 and 440.11

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Solution

The fourth proportional to 719.74, 992.85 and 440.11 is: 607.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.74 : 992.85 = 440.11 : x
  2. Step 2: Convert to fraction form
    719.74/992.85 = 440.11/x
  3. Step 3: Cross multiply
    719.74x = 992.85 × 440.11
  4. Step 4: Simplify right side
    719.74x = 436,958.25
  5. Step 5: Solve for x
    x = 436,958.25/719.74
  6. Step 6: Final answer
    x = 607.11

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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.