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Finding the Fourth Proportional to 1,164.71, 1,742.33 and 798.68

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Solution

The fourth proportional to 1,164.71, 1,742.33 and 798.68 is: 1,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.71 : 1,742.33 = 798.68 : x
  2. Step 2: Convert to fraction form
    1,164.71/1,742.33 = 798.68/x
  3. Step 3: Cross multiply
    1,164.71x = 1,742.33 × 798.68
  4. Step 4: Simplify right side
    1,164.71x = 1,391,570.48
  5. Step 5: Solve for x
    x = 1,391,570.48/1,164.71
  6. Step 6: Final answer
    x = 1,194.78

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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.