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Finding the Fourth Proportional to 631.41, 945.90 and 515.99

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Solution

The fourth proportional to 631.41, 945.90 and 515.99 is: 772.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.41 : 945.90 = 515.99 : x
  2. Step 2: Convert to fraction form
    631.41/945.90 = 515.99/x
  3. Step 3: Cross multiply
    631.41x = 945.90 × 515.99
  4. Step 4: Simplify right side
    631.41x = 488,070.21
  5. Step 5: Solve for x
    x = 488,070.21/631.41
  6. Step 6: Final answer
    x = 772.98

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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.