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Finding the Fourth Proportional to 1,040.04, 1,559.39 and 730.17

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Solution

The fourth proportional to 1,040.04, 1,559.39 and 730.17 is: 1,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.04 : 1,559.39 = 730.17 : x
  2. Step 2: Convert to fraction form
    1,040.04/1,559.39 = 730.17/x
  3. Step 3: Cross multiply
    1,040.04x = 1,559.39 × 730.17
  4. Step 4: Simplify right side
    1,040.04x = 1,138,616.15
  5. Step 5: Solve for x
    x = 1,138,616.15/1,040.04
  6. Step 6: Final answer
    x = 1,094.78

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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.