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Finding the Fourth Proportional to 1,317.12, 1,975.09 and 494.82

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Solution

The fourth proportional to 1,317.12, 1,975.09 and 494.82 is: 742.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.12 : 1,975.09 = 494.82 : x
  2. Step 2: Convert to fraction form
    1,317.12/1,975.09 = 494.82/x
  3. Step 3: Cross multiply
    1,317.12x = 1,975.09 × 494.82
  4. Step 4: Simplify right side
    1,317.12x = 977,314.03
  5. Step 5: Solve for x
    x = 977,314.03/1,317.12
  6. Step 6: Final answer
    x = 742.01

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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.