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Finding the Fourth Proportional to 647.50, 892.73 and 529.34

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Solution

The fourth proportional to 647.50, 892.73 and 529.34 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.50 : 892.73 = 529.34 : x
  2. Step 2: Convert to fraction form
    647.50/892.73 = 529.34/x
  3. Step 3: Cross multiply
    647.50x = 892.73 × 529.34
  4. Step 4: Simplify right side
    647.50x = 472,555.05
  5. Step 5: Solve for x
    x = 472,555.05/647.50
  6. Step 6: Final answer
    x = 729.82

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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.