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Finding the Fourth Proportional to 1,442.43, 2,164.26 and 783.54

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Solution

The fourth proportional to 1,442.43, 2,164.26 and 783.54 is: 1,175.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.43 : 2,164.26 = 783.54 : x
  2. Step 2: Convert to fraction form
    1,442.43/2,164.26 = 783.54/x
  3. Step 3: Cross multiply
    1,442.43x = 2,164.26 × 783.54
  4. Step 4: Simplify right side
    1,442.43x = 1,695,784.28
  5. Step 5: Solve for x
    x = 1,695,784.28/1,442.43
  6. Step 6: Final answer
    x = 1,175.64

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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.