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Finding the Fourth Proportional to 1,489.77, 2,055.77 and 826.65

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Solution

The fourth proportional to 1,489.77, 2,055.77 and 826.65 is: 1,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,489.77 : 2,055.77 = 826.65 : x
  2. Step 2: Convert to fraction form
    1,489.77/2,055.77 = 826.65/x
  3. Step 3: Cross multiply
    1,489.77x = 2,055.77 × 826.65
  4. Step 4: Simplify right side
    1,489.77x = 1,699,402.27
  5. Step 5: Solve for x
    x = 1,699,402.27/1,489.77
  6. Step 6: Final answer
    x = 1,140.71

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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.