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Finding the Fourth Proportional to 1,282.73, 1,923.62 and 416.84

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Solution

The fourth proportional to 1,282.73, 1,923.62 and 416.84 is: 625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.73 : 1,923.62 = 416.84 : x
  2. Step 2: Convert to fraction form
    1,282.73/1,923.62 = 416.84/x
  3. Step 3: Cross multiply
    1,282.73x = 1,923.62 × 416.84
  4. Step 4: Simplify right side
    1,282.73x = 801,830.06
  5. Step 5: Solve for x
    x = 801,830.06/1,282.73
  6. Step 6: Final answer
    x = 625.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.