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Finding the Fourth Proportional to 719.37, 993.11 and 509.72

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Solution

The fourth proportional to 719.37, 993.11 and 509.72 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.37 : 993.11 = 509.72 : x
  2. Step 2: Convert to fraction form
    719.37/993.11 = 509.72/x
  3. Step 3: Cross multiply
    719.37x = 993.11 × 509.72
  4. Step 4: Simplify right side
    719.37x = 506,208.03
  5. Step 5: Solve for x
    x = 506,208.03/719.37
  6. Step 6: Final answer
    x = 703.68

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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.