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Finding the Fourth Proportional to 947.77, 1,421.67 and 363.05

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Solution

The fourth proportional to 947.77, 1,421.67 and 363.05 is: 544.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.77 : 1,421.67 = 363.05 : x
  2. Step 2: Convert to fraction form
    947.77/1,421.67 = 363.05/x
  3. Step 3: Cross multiply
    947.77x = 1,421.67 × 363.05
  4. Step 4: Simplify right side
    947.77x = 516,131.09
  5. Step 5: Solve for x
    x = 516,131.09/947.77
  6. Step 6: Final answer
    x = 544.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.