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Finding the Fourth Proportional to 947.31, 1,420.96 and 514.77

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Solution

The fourth proportional to 947.31, 1,420.96 and 514.77 is: 772.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,420.96 = 514.77 : x
  2. Step 2: Convert to fraction form
    947.31/1,420.96 = 514.77/x
  3. Step 3: Cross multiply
    947.31x = 1,420.96 × 514.77
  4. Step 4: Simplify right side
    947.31x = 731,467.58
  5. Step 5: Solve for x
    x = 731,467.58/947.31
  6. Step 6: Final answer
    x = 772.15

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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.