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Finding the Fourth Proportional to 1,109.93, 1,664.87 and 288.20

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Solution

The fourth proportional to 1,109.93, 1,664.87 and 288.20 is: 432.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.93 : 1,664.87 = 288.20 : x
  2. Step 2: Convert to fraction form
    1,109.93/1,664.87 = 288.20/x
  3. Step 3: Cross multiply
    1,109.93x = 1,664.87 × 288.20
  4. Step 4: Simplify right side
    1,109.93x = 479,815.53
  5. Step 5: Solve for x
    x = 479,815.53/1,109.93
  6. Step 6: Final answer
    x = 432.29

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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.