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Finding the Fourth Proportional to 1,771.76, 2,656.15 and 784.42

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Solution

The fourth proportional to 1,771.76, 2,656.15 and 784.42 is: 1,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.76 : 2,656.15 = 784.42 : x
  2. Step 2: Convert to fraction form
    1,771.76/2,656.15 = 784.42/x
  3. Step 3: Cross multiply
    1,771.76x = 2,656.15 × 784.42
  4. Step 4: Simplify right side
    1,771.76x = 2,083,537.18
  5. Step 5: Solve for x
    x = 2,083,537.18/1,771.76
  6. Step 6: Final answer
    x = 1,175.97

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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.