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Finding the Fourth Proportional to 987.42, 1,362.66 and 594.36

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Solution

The fourth proportional to 987.42, 1,362.66 and 594.36 is: 820.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.42 : 1,362.66 = 594.36 : x
  2. Step 2: Convert to fraction form
    987.42/1,362.66 = 594.36/x
  3. Step 3: Cross multiply
    987.42x = 1,362.66 × 594.36
  4. Step 4: Simplify right side
    987.42x = 809,910.60
  5. Step 5: Solve for x
    x = 809,910.60/987.42
  6. Step 6: Final answer
    x = 820.23

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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.