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Finding the Fourth Proportional to 1,317.96, 1,976.27 and 452.07

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Solution

The fourth proportional to 1,317.96, 1,976.27 and 452.07 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.96 : 1,976.27 = 452.07 : x
  2. Step 2: Convert to fraction form
    1,317.96/1,976.27 = 452.07/x
  3. Step 3: Cross multiply
    1,317.96x = 1,976.27 × 452.07
  4. Step 4: Simplify right side
    1,317.96x = 893,410.12
  5. Step 5: Solve for x
    x = 893,410.12/1,317.96
  6. Step 6: Final answer
    x = 677.87

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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.