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Finding the Fourth Proportional to 1,054.73, 1,582.09 and 274.73

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Solution

The fourth proportional to 1,054.73, 1,582.09 and 274.73 is: 412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.73 : 1,582.09 = 274.73 : x
  2. Step 2: Convert to fraction form
    1,054.73/1,582.09 = 274.73/x
  3. Step 3: Cross multiply
    1,054.73x = 1,582.09 × 274.73
  4. Step 4: Simplify right side
    1,054.73x = 434,639.37
  5. Step 5: Solve for x
    x = 434,639.37/1,054.73
  6. Step 6: Final answer
    x = 412.09

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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.