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Finding the Fourth Proportional to 1,287.02, 1,931.88 and 638.24

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Solution

The fourth proportional to 1,287.02, 1,931.88 and 638.24 is: 958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.02 : 1,931.88 = 638.24 : x
  2. Step 2: Convert to fraction form
    1,287.02/1,931.88 = 638.24/x
  3. Step 3: Cross multiply
    1,287.02x = 1,931.88 × 638.24
  4. Step 4: Simplify right side
    1,287.02x = 1,233,003.09
  5. Step 5: Solve for x
    x = 1,233,003.09/1,287.02
  6. Step 6: Final answer
    x = 958.03

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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.