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Finding the Fourth Proportional to 1,281.03, 1,921.37 and 459.19

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Solution

The fourth proportional to 1,281.03, 1,921.37 and 459.19 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.03 : 1,921.37 = 459.19 : x
  2. Step 2: Convert to fraction form
    1,281.03/1,921.37 = 459.19/x
  3. Step 3: Cross multiply
    1,281.03x = 1,921.37 × 459.19
  4. Step 4: Simplify right side
    1,281.03x = 882,265.77
  5. Step 5: Solve for x
    x = 882,265.77/1,281.03
  6. Step 6: Final answer
    x = 688.71

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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.