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Finding the Fourth Proportional to 947.02, 1,420.94 and 513.68

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Solution

The fourth proportional to 947.02, 1,420.94 and 513.68 is: 770.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.02 : 1,420.94 = 513.68 : x
  2. Step 2: Convert to fraction form
    947.02/1,420.94 = 513.68/x
  3. Step 3: Cross multiply
    947.02x = 1,420.94 × 513.68
  4. Step 4: Simplify right side
    947.02x = 729,908.46
  5. Step 5: Solve for x
    x = 729,908.46/947.02
  6. Step 6: Final answer
    x = 770.74

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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.