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Finding the Fourth Proportional to 719.65, 992.17 and 520.32

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Solution

The fourth proportional to 719.65, 992.17 and 520.32 is: 717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.65 : 992.17 = 520.32 : x
  2. Step 2: Convert to fraction form
    719.65/992.17 = 520.32/x
  3. Step 3: Cross multiply
    719.65x = 992.17 × 520.32
  4. Step 4: Simplify right side
    719.65x = 516,247.34
  5. Step 5: Solve for x
    x = 516,247.34/719.65
  6. Step 6: Final answer
    x = 717.36

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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.