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Finding the Fourth Proportional to 1,287.60, 1,928.70 and 1,012.38

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Solution

The fourth proportional to 1,287.60, 1,928.70 and 1,012.38 is: 1,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.60 : 1,928.70 = 1,012.38 : x
  2. Step 2: Convert to fraction form
    1,287.60/1,928.70 = 1,012.38/x
  3. Step 3: Cross multiply
    1,287.60x = 1,928.70 × 1,012.38
  4. Step 4: Simplify right side
    1,287.60x = 1,952,577.31
  5. Step 5: Solve for x
    x = 1,952,577.31/1,287.60
  6. Step 6: Final answer
    x = 1,516.45

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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.