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Finding the Fourth Proportional to 1,254.78, 1,729.70 and 1,033.35

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Solution

The fourth proportional to 1,254.78, 1,729.70 and 1,033.35 is: 1,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.78 : 1,729.70 = 1,033.35 : x
  2. Step 2: Convert to fraction form
    1,254.78/1,729.70 = 1,033.35/x
  3. Step 3: Cross multiply
    1,254.78x = 1,729.70 × 1,033.35
  4. Step 4: Simplify right side
    1,254.78x = 1,787,385.50
  5. Step 5: Solve for x
    x = 1,787,385.50/1,254.78
  6. Step 6: Final answer
    x = 1,424.46

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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.