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Finding the Fourth Proportional to 1,757.79, 2,636.78 and 783.96

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Solution

The fourth proportional to 1,757.79, 2,636.78 and 783.96 is: 1,175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.79 : 2,636.78 = 783.96 : x
  2. Step 2: Convert to fraction form
    1,757.79/2,636.78 = 783.96/x
  3. Step 3: Cross multiply
    1,757.79x = 2,636.78 × 783.96
  4. Step 4: Simplify right side
    1,757.79x = 2,067,126.13
  5. Step 5: Solve for x
    x = 2,067,126.13/1,757.79
  6. Step 6: Final answer
    x = 1,175.98

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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.