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Finding the Fourth Proportional to 987.39, 1,362.62 and 594.41

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Solution

The fourth proportional to 987.39, 1,362.62 and 594.41 is: 820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.39 : 1,362.62 = 594.41 : x
  2. Step 2: Convert to fraction form
    987.39/1,362.62 = 594.41/x
  3. Step 3: Cross multiply
    987.39x = 1,362.62 × 594.41
  4. Step 4: Simplify right side
    987.39x = 809,949.63
  5. Step 5: Solve for x
    x = 809,949.63/987.39
  6. Step 6: Final answer
    x = 820.29

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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.