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Finding the Fourth Proportional to 1,317.01, 1,817.50 and 727.55

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Solution

The fourth proportional to 1,317.01, 1,817.50 and 727.55 is: 1,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.01 : 1,817.50 = 727.55 : x
  2. Step 2: Convert to fraction form
    1,317.01/1,817.50 = 727.55/x
  3. Step 3: Cross multiply
    1,317.01x = 1,817.50 × 727.55
  4. Step 4: Simplify right side
    1,317.01x = 1,322,322.13
  5. Step 5: Solve for x
    x = 1,322,322.13/1,317.01
  6. Step 6: Final answer
    x = 1,004.03

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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.