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Finding the Fourth Proportional to 950.70, 1,311.63 and 577.80

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Solution

The fourth proportional to 950.70, 1,311.63 and 577.80 is: 797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.70 : 1,311.63 = 577.80 : x
  2. Step 2: Convert to fraction form
    950.70/1,311.63 = 577.80/x
  3. Step 3: Cross multiply
    950.70x = 1,311.63 × 577.80
  4. Step 4: Simplify right side
    950.70x = 757,859.81
  5. Step 5: Solve for x
    x = 757,859.81/950.70
  6. Step 6: Final answer
    x = 797.16

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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.