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Finding the Fourth Proportional to 947.81, 1,421.00 and 514.37

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Solution

The fourth proportional to 947.81, 1,421.00 and 514.37 is: 771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.81 : 1,421.00 = 514.37 : x
  2. Step 2: Convert to fraction form
    947.81/1,421.00 = 514.37/x
  3. Step 3: Cross multiply
    947.81x = 1,421.00 × 514.37
  4. Step 4: Simplify right side
    947.81x = 730,922.68
  5. Step 5: Solve for x
    x = 730,922.68/947.81
  6. Step 6: Final answer
    x = 771.17

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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.