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Finding the Fourth Proportional to 1,109.73, 1,664.63 and 288.02

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Solution

The fourth proportional to 1,109.73, 1,664.63 and 288.02 is: 432.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.73 : 1,664.63 = 288.02 : x
  2. Step 2: Convert to fraction form
    1,109.73/1,664.63 = 288.02/x
  3. Step 3: Cross multiply
    1,109.73x = 1,664.63 × 288.02
  4. Step 4: Simplify right side
    1,109.73x = 479,446.73
  5. Step 5: Solve for x
    x = 479,446.73/1,109.73
  6. Step 6: Final answer
    x = 432.04

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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.