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Finding the Fourth Proportional to 651.63, 976.62 and 514.14

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Solution

The fourth proportional to 651.63, 976.62 and 514.14 is: 770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.63 : 976.62 = 514.14 : x
  2. Step 2: Convert to fraction form
    651.63/976.62 = 514.14/x
  3. Step 3: Cross multiply
    651.63x = 976.62 × 514.14
  4. Step 4: Simplify right side
    651.63x = 502,119.41
  5. Step 5: Solve for x
    x = 502,119.41/651.63
  6. Step 6: Final answer
    x = 770.56

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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.