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Finding the Fourth Proportional to 1,083.26, 1,494.51 and 978.50

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Solution

The fourth proportional to 1,083.26, 1,494.51 and 978.50 is: 1,349.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.26 : 1,494.51 = 978.50 : x
  2. Step 2: Convert to fraction form
    1,083.26/1,494.51 = 978.50/x
  3. Step 3: Cross multiply
    1,083.26x = 1,494.51 × 978.50
  4. Step 4: Simplify right side
    1,083.26x = 1,462,378.04
  5. Step 5: Solve for x
    x = 1,462,378.04/1,083.26
  6. Step 6: Final answer
    x = 1,349.98

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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.