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Finding the Fourth Proportional to 979.50, 1,351.83 and 565.50

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Solution

The fourth proportional to 979.50, 1,351.83 and 565.50 is: 780.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.50 : 1,351.83 = 565.50 : x
  2. Step 2: Convert to fraction form
    979.50/1,351.83 = 565.50/x
  3. Step 3: Cross multiply
    979.50x = 1,351.83 × 565.50
  4. Step 4: Simplify right side
    979.50x = 764,459.87
  5. Step 5: Solve for x
    x = 764,459.87/979.50
  6. Step 6: Final answer
    x = 780.46

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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.