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Finding the Fourth Proportional to 1,109.07, 1,664.64 and 589.68

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Solution

The fourth proportional to 1,109.07, 1,664.64 and 589.68 is: 885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.07 : 1,664.64 = 589.68 : x
  2. Step 2: Convert to fraction form
    1,109.07/1,664.64 = 589.68/x
  3. Step 3: Cross multiply
    1,109.07x = 1,664.64 × 589.68
  4. Step 4: Simplify right side
    1,109.07x = 981,604.92
  5. Step 5: Solve for x
    x = 981,604.92/1,109.07
  6. Step 6: Final answer
    x = 885.07

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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.