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Finding the Fourth Proportional to 719.37, 992.75 and 562.19

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Solution

The fourth proportional to 719.37, 992.75 and 562.19 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.37 : 992.75 = 562.19 : x
  2. Step 2: Convert to fraction form
    719.37/992.75 = 562.19/x
  3. Step 3: Cross multiply
    719.37x = 992.75 × 562.19
  4. Step 4: Simplify right side
    719.37x = 558,106.35
  5. Step 5: Solve for x
    x = 558,106.35/719.37
  6. Step 6: Final answer
    x = 775.83

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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.