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Finding the Fourth Proportional to 1,290.31, 1,934.97 and 549.46

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Solution

The fourth proportional to 1,290.31, 1,934.97 and 549.46 is: 823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.31 : 1,934.97 = 549.46 : x
  2. Step 2: Convert to fraction form
    1,290.31/1,934.97 = 549.46/x
  3. Step 3: Cross multiply
    1,290.31x = 1,934.97 × 549.46
  4. Step 4: Simplify right side
    1,290.31x = 1,063,182.73
  5. Step 5: Solve for x
    x = 1,063,182.73/1,290.31
  6. Step 6: Final answer
    x = 823.97

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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.