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Finding the Fourth Proportional to 1,287.73, 1,931.60 and 518.23

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Solution

The fourth proportional to 1,287.73, 1,931.60 and 518.23 is: 777.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.73 : 1,931.60 = 518.23 : x
  2. Step 2: Convert to fraction form
    1,287.73/1,931.60 = 518.23/x
  3. Step 3: Cross multiply
    1,287.73x = 1,931.60 × 518.23
  4. Step 4: Simplify right side
    1,287.73x = 1,001,013.07
  5. Step 5: Solve for x
    x = 1,001,013.07/1,287.73
  6. Step 6: Final answer
    x = 777.35

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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.