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Finding the Fourth Proportional to 1,287.84, 1,930.41 and 637.23

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Solution

The fourth proportional to 1,287.84, 1,930.41 and 637.23 is: 955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.84 : 1,930.41 = 637.23 : x
  2. Step 2: Convert to fraction form
    1,287.84/1,930.41 = 637.23/x
  3. Step 3: Cross multiply
    1,287.84x = 1,930.41 × 637.23
  4. Step 4: Simplify right side
    1,287.84x = 1,230,115.16
  5. Step 5: Solve for x
    x = 1,230,115.16/1,287.84
  6. Step 6: Final answer
    x = 955.18

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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.