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Finding the Fourth Proportional to 651.41, 972.68 and 512.90

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Solution

The fourth proportional to 651.41, 972.68 and 512.90 is: 765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.41 : 972.68 = 512.90 : x
  2. Step 2: Convert to fraction form
    651.41/972.68 = 512.90/x
  3. Step 3: Cross multiply
    651.41x = 972.68 × 512.90
  4. Step 4: Simplify right side
    651.41x = 498,887.57
  5. Step 5: Solve for x
    x = 498,887.57/651.41
  6. Step 6: Final answer
    x = 765.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.