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Finding the Fourth Proportional to 1,295.37, 1,941.80 and 515.12

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Solution

The fourth proportional to 1,295.37, 1,941.80 and 515.12 is: 772.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.37 : 1,941.80 = 515.12 : x
  2. Step 2: Convert to fraction form
    1,295.37/1,941.80 = 515.12/x
  3. Step 3: Cross multiply
    1,295.37x = 1,941.80 × 515.12
  4. Step 4: Simplify right side
    1,295.37x = 1,000,247.73
  5. Step 5: Solve for x
    x = 1,000,247.73/1,295.37
  6. Step 6: Final answer
    x = 772.17

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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.