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Finding the Fourth Proportional to 1,245.76, 1,869.48 and 515.33

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Solution

The fourth proportional to 1,245.76, 1,869.48 and 515.33 is: 773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.76 : 1,869.48 = 515.33 : x
  2. Step 2: Convert to fraction form
    1,245.76/1,869.48 = 515.33/x
  3. Step 3: Cross multiply
    1,245.76x = 1,869.48 × 515.33
  4. Step 4: Simplify right side
    1,245.76x = 963,389.78
  5. Step 5: Solve for x
    x = 963,389.78/1,245.76
  6. Step 6: Final answer
    x = 773.34

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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.