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Finding the Fourth Proportional to 1,204.90, 1,661.66 and 1,018.78

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Solution

The fourth proportional to 1,204.90, 1,661.66 and 1,018.78 is: 1,404.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.90 : 1,661.66 = 1,018.78 : x
  2. Step 2: Convert to fraction form
    1,204.90/1,661.66 = 1,018.78/x
  3. Step 3: Cross multiply
    1,204.90x = 1,661.66 × 1,018.78
  4. Step 4: Simplify right side
    1,204.90x = 1,692,866.28
  5. Step 5: Solve for x
    x = 1,692,866.28/1,204.90
  6. Step 6: Final answer
    x = 1,404.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.