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Finding the Fourth Proportional to 1,281.44, 1,921.32 and 459.29

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Solution

The fourth proportional to 1,281.44, 1,921.32 and 459.29 is: 688.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.44 : 1,921.32 = 459.29 : x
  2. Step 2: Convert to fraction form
    1,281.44/1,921.32 = 459.29/x
  3. Step 3: Cross multiply
    1,281.44x = 1,921.32 × 459.29
  4. Step 4: Simplify right side
    1,281.44x = 882,443.06
  5. Step 5: Solve for x
    x = 882,443.06/1,281.44
  6. Step 6: Final answer
    x = 688.63

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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.