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Finding the Fourth Proportional to 1,083.40, 1,625.04 and 718.09

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Solution

The fourth proportional to 1,083.40, 1,625.04 and 718.09 is: 1,077.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.40 : 1,625.04 = 718.09 : x
  2. Step 2: Convert to fraction form
    1,083.40/1,625.04 = 718.09/x
  3. Step 3: Cross multiply
    1,083.40x = 1,625.04 × 718.09
  4. Step 4: Simplify right side
    1,083.40x = 1,166,924.97
  5. Step 5: Solve for x
    x = 1,166,924.97/1,083.40
  6. Step 6: Final answer
    x = 1,077.10

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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.