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Finding the Fourth Proportional to 709.76, 979.44 and 561.92

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Solution

The fourth proportional to 709.76, 979.44 and 561.92 is: 775.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.76 : 979.44 = 561.92 : x
  2. Step 2: Convert to fraction form
    709.76/979.44 = 561.92/x
  3. Step 3: Cross multiply
    709.76x = 979.44 × 561.92
  4. Step 4: Simplify right side
    709.76x = 550,366.92
  5. Step 5: Solve for x
    x = 550,366.92/709.76
  6. Step 6: Final answer
    x = 775.43

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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.