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Finding the Fourth Proportional to 987.36, 1,362.86 and 594.32

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Solution

The fourth proportional to 987.36, 1,362.86 and 594.32 is: 820.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.36 : 1,362.86 = 594.32 : x
  2. Step 2: Convert to fraction form
    987.36/1,362.86 = 594.32/x
  3. Step 3: Cross multiply
    987.36x = 1,362.86 × 594.32
  4. Step 4: Simplify right side
    987.36x = 809,974.96
  5. Step 5: Solve for x
    x = 809,974.96/987.36
  6. Step 6: Final answer
    x = 820.34

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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.