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Finding the Fourth Proportional to 650.52, 974.88 and 512.94

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Solution

The fourth proportional to 650.52, 974.88 and 512.94 is: 768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.52 : 974.88 = 512.94 : x
  2. Step 2: Convert to fraction form
    650.52/974.88 = 512.94/x
  3. Step 3: Cross multiply
    650.52x = 974.88 × 512.94
  4. Step 4: Simplify right side
    650.52x = 500,054.95
  5. Step 5: Solve for x
    x = 500,054.95/650.52
  6. Step 6: Final answer
    x = 768.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.