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Finding the Fourth Proportional to 780.22, 1,171.68 and 576.10

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Solution

The fourth proportional to 780.22, 1,171.68 and 576.10 is: 865.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.22 : 1,171.68 = 576.10 : x
  2. Step 2: Convert to fraction form
    780.22/1,171.68 = 576.10/x
  3. Step 3: Cross multiply
    780.22x = 1,171.68 × 576.10
  4. Step 4: Simplify right side
    780.22x = 675,004.85
  5. Step 5: Solve for x
    x = 675,004.85/780.22
  6. Step 6: Final answer
    x = 865.15

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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.