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Finding the Fourth Proportional to 719.35, 992.41 and 522.43

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Solution

The fourth proportional to 719.35, 992.41 and 522.43 is: 720.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.35 : 992.41 = 522.43 : x
  2. Step 2: Convert to fraction form
    719.35/992.41 = 522.43/x
  3. Step 3: Cross multiply
    719.35x = 992.41 × 522.43
  4. Step 4: Simplify right side
    719.35x = 518,464.76
  5. Step 5: Solve for x
    x = 518,464.76/719.35
  6. Step 6: Final answer
    x = 720.74

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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.