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Finding the Fourth Proportional to 650.56, 975.63 and 546.47

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Solution

The fourth proportional to 650.56, 975.63 and 546.47 is: 819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.56 : 975.63 = 546.47 : x
  2. Step 2: Convert to fraction form
    650.56/975.63 = 546.47/x
  3. Step 3: Cross multiply
    650.56x = 975.63 × 546.47
  4. Step 4: Simplify right side
    650.56x = 533,153.94
  5. Step 5: Solve for x
    x = 533,153.94/650.56
  6. Step 6: Final answer
    x = 819.53

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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.