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Finding the Fourth Proportional to 1,282.67, 1,924.23 and 460.93

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Solution

The fourth proportional to 1,282.67, 1,924.23 and 460.93 is: 691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.67 : 1,924.23 = 460.93 : x
  2. Step 2: Convert to fraction form
    1,282.67/1,924.23 = 460.93/x
  3. Step 3: Cross multiply
    1,282.67x = 1,924.23 × 460.93
  4. Step 4: Simplify right side
    1,282.67x = 886,935.33
  5. Step 5: Solve for x
    x = 886,935.33/1,282.67
  6. Step 6: Final answer
    x = 691.48

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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.