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Finding the Fourth Proportional to 1,218.37, 1,827.73 and 487.93

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Solution

The fourth proportional to 1,218.37, 1,827.73 and 487.93 is: 731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,827.73 = 487.93 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,827.73 = 487.93/x
  3. Step 3: Cross multiply
    1,218.37x = 1,827.73 × 487.93
  4. Step 4: Simplify right side
    1,218.37x = 891,792.72
  5. Step 5: Solve for x
    x = 891,792.72/1,218.37
  6. Step 6: Final answer
    x = 731.96

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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.