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Finding the Fourth Proportional to 1,076.78, 1,615.26 and 383.60

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Solution

The fourth proportional to 1,076.78, 1,615.26 and 383.60 is: 575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.78 : 1,615.26 = 383.60 : x
  2. Step 2: Convert to fraction form
    1,076.78/1,615.26 = 383.60/x
  3. Step 3: Cross multiply
    1,076.78x = 1,615.26 × 383.60
  4. Step 4: Simplify right side
    1,076.78x = 619,613.74
  5. Step 5: Solve for x
    x = 619,613.74/1,076.78
  6. Step 6: Final answer
    x = 575.43

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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.