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Finding the Fourth Proportional to 1,189.51, 1,641.50 and 658.43

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Solution

The fourth proportional to 1,189.51, 1,641.50 and 658.43 is: 908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.51 : 1,641.50 = 658.43 : x
  2. Step 2: Convert to fraction form
    1,189.51/1,641.50 = 658.43/x
  3. Step 3: Cross multiply
    1,189.51x = 1,641.50 × 658.43
  4. Step 4: Simplify right side
    1,189.51x = 1,080,806.28
  5. Step 5: Solve for x
    x = 1,080,806.28/1,189.51
  6. Step 6: Final answer
    x = 908.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.