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Finding the Fourth Proportional to 987.41, 1,362.44 and 594.47

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Solution

The fourth proportional to 987.41, 1,362.44 and 594.47 is: 820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.41 : 1,362.44 = 594.47 : x
  2. Step 2: Convert to fraction form
    987.41/1,362.44 = 594.47/x
  3. Step 3: Cross multiply
    987.41x = 1,362.44 × 594.47
  4. Step 4: Simplify right side
    987.41x = 809,924.38
  5. Step 5: Solve for x
    x = 809,924.38/987.41
  6. Step 6: Final answer
    x = 820.25

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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.