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Finding the Fourth Proportional to 788.43, 1,086.87 and 601.53

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Solution

The fourth proportional to 788.43, 1,086.87 and 601.53 is: 829.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.43 : 1,086.87 = 601.53 : x
  2. Step 2: Convert to fraction form
    788.43/1,086.87 = 601.53/x
  3. Step 3: Cross multiply
    788.43x = 1,086.87 × 601.53
  4. Step 4: Simplify right side
    788.43x = 653,784.91
  5. Step 5: Solve for x
    x = 653,784.91/788.43
  6. Step 6: Final answer
    x = 829.22

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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.