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Finding the Fourth Proportional to 1,254.73, 1,730.98 and 881.95

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Solution

The fourth proportional to 1,254.73, 1,730.98 and 881.95 is: 1,216.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.73 : 1,730.98 = 881.95 : x
  2. Step 2: Convert to fraction form
    1,254.73/1,730.98 = 881.95/x
  3. Step 3: Cross multiply
    1,254.73x = 1,730.98 × 881.95
  4. Step 4: Simplify right side
    1,254.73x = 1,526,641.08
  5. Step 5: Solve for x
    x = 1,526,641.08/1,254.73
  6. Step 6: Final answer
    x = 1,216.71

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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.