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Finding the Fourth Proportional to 1,288.48, 1,933.60 and 519.04

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Solution

The fourth proportional to 1,288.48, 1,933.60 and 519.04 is: 778.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.48 : 1,933.60 = 519.04 : x
  2. Step 2: Convert to fraction form
    1,288.48/1,933.60 = 519.04/x
  3. Step 3: Cross multiply
    1,288.48x = 1,933.60 × 519.04
  4. Step 4: Simplify right side
    1,288.48x = 1,003,615.74
  5. Step 5: Solve for x
    x = 1,003,615.74/1,288.48
  6. Step 6: Final answer
    x = 778.91

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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.