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Finding the Fourth Proportional to 1,282.80, 1,924.12 and 405.28

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Solution

The fourth proportional to 1,282.80, 1,924.12 and 405.28 is: 607.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.80 : 1,924.12 = 405.28 : x
  2. Step 2: Convert to fraction form
    1,282.80/1,924.12 = 405.28/x
  3. Step 3: Cross multiply
    1,282.80x = 1,924.12 × 405.28
  4. Step 4: Simplify right side
    1,282.80x = 779,807.35
  5. Step 5: Solve for x
    x = 779,807.35/1,282.80
  6. Step 6: Final answer
    x = 607.89

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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.