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Finding the Fourth Proportional to 786.88, 1,086.50 and 538.21

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Solution

The fourth proportional to 786.88, 1,086.50 and 538.21 is: 743.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.88 : 1,086.50 = 538.21 : x
  2. Step 2: Convert to fraction form
    786.88/1,086.50 = 538.21/x
  3. Step 3: Cross multiply
    786.88x = 1,086.50 × 538.21
  4. Step 4: Simplify right side
    786.88x = 584,765.17
  5. Step 5: Solve for x
    x = 584,765.17/786.88
  6. Step 6: Final answer
    x = 743.14

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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.