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Finding the Fourth Proportional to 1,282.57, 1,924.00 and 460.62

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Solution

The fourth proportional to 1,282.57, 1,924.00 and 460.62 is: 690.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.57 : 1,924.00 = 460.62 : x
  2. Step 2: Convert to fraction form
    1,282.57/1,924.00 = 460.62/x
  3. Step 3: Cross multiply
    1,282.57x = 1,924.00 × 460.62
  4. Step 4: Simplify right side
    1,282.57x = 886,231.73
  5. Step 5: Solve for x
    x = 886,231.73/1,282.57
  6. Step 6: Final answer
    x = 690.98

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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.