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Finding the Fourth Proportional to 1,317.21, 1,817.73 and 727.74

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Solution

The fourth proportional to 1,317.21, 1,817.73 and 727.74 is: 1,004.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.21 : 1,817.73 = 727.74 : x
  2. Step 2: Convert to fraction form
    1,317.21/1,817.73 = 727.74/x
  3. Step 3: Cross multiply
    1,317.21x = 1,817.73 × 727.74
  4. Step 4: Simplify right side
    1,317.21x = 1,322,834.83
  5. Step 5: Solve for x
    x = 1,322,834.83/1,317.21
  6. Step 6: Final answer
    x = 1,004.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.