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Finding the Fourth Proportional to 649.86, 975.33 and 514.32

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Solution

The fourth proportional to 649.86, 975.33 and 514.32 is: 771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.86 : 975.33 = 514.32 : x
  2. Step 2: Convert to fraction form
    649.86/975.33 = 514.32/x
  3. Step 3: Cross multiply
    649.86x = 975.33 × 514.32
  4. Step 4: Simplify right side
    649.86x = 501,631.73
  5. Step 5: Solve for x
    x = 501,631.73/649.86
  6. Step 6: Final answer
    x = 771.91

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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.