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Finding the Fourth Proportional to 1,281.41, 1,922.13 and 460.27

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Solution

The fourth proportional to 1,281.41, 1,922.13 and 460.27 is: 690.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.41 : 1,922.13 = 460.27 : x
  2. Step 2: Convert to fraction form
    1,281.41/1,922.13 = 460.27/x
  3. Step 3: Cross multiply
    1,281.41x = 1,922.13 × 460.27
  4. Step 4: Simplify right side
    1,281.41x = 884,701.18
  5. Step 5: Solve for x
    x = 884,701.18/1,281.41
  6. Step 6: Final answer
    x = 690.41

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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.