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Finding the Fourth Proportional to 1,260.23, 1,738.80 and 946.53

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Solution

The fourth proportional to 1,260.23, 1,738.80 and 946.53 is: 1,305.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.23 : 1,738.80 = 946.53 : x
  2. Step 2: Convert to fraction form
    1,260.23/1,738.80 = 946.53/x
  3. Step 3: Cross multiply
    1,260.23x = 1,738.80 × 946.53
  4. Step 4: Simplify right side
    1,260.23x = 1,645,826.36
  5. Step 5: Solve for x
    x = 1,645,826.36/1,260.23
  6. Step 6: Final answer
    x = 1,305.98

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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.