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Finding the Fourth Proportional to 1,317.14, 1,975.49 and 484.03

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Solution

The fourth proportional to 1,317.14, 1,975.49 and 484.03 is: 725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.14 : 1,975.49 = 484.03 : x
  2. Step 2: Convert to fraction form
    1,317.14/1,975.49 = 484.03/x
  3. Step 3: Cross multiply
    1,317.14x = 1,975.49 × 484.03
  4. Step 4: Simplify right side
    1,317.14x = 956,196.42
  5. Step 5: Solve for x
    x = 956,196.42/1,317.14
  6. Step 6: Final answer
    x = 725.96

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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.