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Finding the Fourth Proportional to 1,281.96, 1,923.57 and 460.89

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Solution

The fourth proportional to 1,281.96, 1,923.57 and 460.89 is: 691.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.96 : 1,923.57 = 460.89 : x
  2. Step 2: Convert to fraction form
    1,281.96/1,923.57 = 460.89/x
  3. Step 3: Cross multiply
    1,281.96x = 1,923.57 × 460.89
  4. Step 4: Simplify right side
    1,281.96x = 886,554.18
  5. Step 5: Solve for x
    x = 886,554.18/1,281.96
  6. Step 6: Final answer
    x = 691.56

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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.