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Finding the Fourth Proportional to 719.86, 993.38 and 405.13

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Solution

The fourth proportional to 719.86, 993.38 and 405.13 is: 559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.86 : 993.38 = 405.13 : x
  2. Step 2: Convert to fraction form
    719.86/993.38 = 405.13/x
  3. Step 3: Cross multiply
    719.86x = 993.38 × 405.13
  4. Step 4: Simplify right side
    719.86x = 402,449.05
  5. Step 5: Solve for x
    x = 402,449.05/719.86
  6. Step 6: Final answer
    x = 559.07

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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.