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Finding the Fourth Proportional to 1,317.09, 1,975.82 and 484.05

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Solution

The fourth proportional to 1,317.09, 1,975.82 and 484.05 is: 726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.09 : 1,975.82 = 484.05 : x
  2. Step 2: Convert to fraction form
    1,317.09/1,975.82 = 484.05/x
  3. Step 3: Cross multiply
    1,317.09x = 1,975.82 × 484.05
  4. Step 4: Simplify right side
    1,317.09x = 956,393.25
  5. Step 5: Solve for x
    x = 956,393.25/1,317.09
  6. Step 6: Final answer
    x = 726.14

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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.