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Finding the Fourth Proportional to 1,290.17, 1,781.91 and 850.03

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Solution

The fourth proportional to 1,290.17, 1,781.91 and 850.03 is: 1,174.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.17 : 1,781.91 = 850.03 : x
  2. Step 2: Convert to fraction form
    1,290.17/1,781.91 = 850.03/x
  3. Step 3: Cross multiply
    1,290.17x = 1,781.91 × 850.03
  4. Step 4: Simplify right side
    1,290.17x = 1,514,672.50
  5. Step 5: Solve for x
    x = 1,514,672.50/1,290.17
  6. Step 6: Final answer
    x = 1,174.01

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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.