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Finding the Fourth Proportional to 1,034.36, 1,544.69 and 978.20

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Solution

The fourth proportional to 1,034.36, 1,544.69 and 978.20 is: 1,460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.36 : 1,544.69 = 978.20 : x
  2. Step 2: Convert to fraction form
    1,034.36/1,544.69 = 978.20/x
  3. Step 3: Cross multiply
    1,034.36x = 1,544.69 × 978.20
  4. Step 4: Simplify right side
    1,034.36x = 1,511,015.76
  5. Step 5: Solve for x
    x = 1,511,015.76/1,034.36
  6. Step 6: Final answer
    x = 1,460.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.