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Finding the Fourth Proportional to 1,317.18, 1,817.82 and 727.82

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Solution

The fourth proportional to 1,317.18, 1,817.82 and 727.82 is: 1,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.18 : 1,817.82 = 727.82 : x
  2. Step 2: Convert to fraction form
    1,317.18/1,817.82 = 727.82/x
  3. Step 3: Cross multiply
    1,317.18x = 1,817.82 × 727.82
  4. Step 4: Simplify right side
    1,317.18x = 1,323,036.66
  5. Step 5: Solve for x
    x = 1,323,036.66/1,317.18
  6. Step 6: Final answer
    x = 1,004.45

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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.