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Finding the Fourth Proportional to 719.41, 993.64 and 596.69

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Solution

The fourth proportional to 719.41, 993.64 and 596.69 is: 824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.41 : 993.64 = 596.69 : x
  2. Step 2: Convert to fraction form
    719.41/993.64 = 596.69/x
  3. Step 3: Cross multiply
    719.41x = 993.64 × 596.69
  4. Step 4: Simplify right side
    719.41x = 592,896.04
  5. Step 5: Solve for x
    x = 592,896.04/719.41
  6. Step 6: Final answer
    x = 824.14

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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.