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Finding the Fourth Proportional to 1,291.29, 1,781.99 and 701.83

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Solution

The fourth proportional to 1,291.29, 1,781.99 and 701.83 is: 968.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.29 : 1,781.99 = 701.83 : x
  2. Step 2: Convert to fraction form
    1,291.29/1,781.99 = 701.83/x
  3. Step 3: Cross multiply
    1,291.29x = 1,781.99 × 701.83
  4. Step 4: Simplify right side
    1,291.29x = 1,250,650.53
  5. Step 5: Solve for x
    x = 1,250,650.53/1,291.29
  6. Step 6: Final answer
    x = 968.53

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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.