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Finding the Fourth Proportional to 1,260.25, 1,739.08 and 729.05

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Solution

The fourth proportional to 1,260.25, 1,739.08 and 729.05 is: 1,006.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.25 : 1,739.08 = 729.05 : x
  2. Step 2: Convert to fraction form
    1,260.25/1,739.08 = 729.05/x
  3. Step 3: Cross multiply
    1,260.25x = 1,739.08 × 729.05
  4. Step 4: Simplify right side
    1,260.25x = 1,267,865.76
  5. Step 5: Solve for x
    x = 1,267,865.76/1,260.25
  6. Step 6: Final answer
    x = 1,006.05

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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.