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Finding the Fourth Proportional to 988.82, 1,364.40 and 563.37

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Solution

The fourth proportional to 988.82, 1,364.40 and 563.37 is: 777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.82 : 1,364.40 = 563.37 : x
  2. Step 2: Convert to fraction form
    988.82/1,364.40 = 563.37/x
  3. Step 3: Cross multiply
    988.82x = 1,364.40 × 563.37
  4. Step 4: Simplify right side
    988.82x = 768,662.03
  5. Step 5: Solve for x
    x = 768,662.03/988.82
  6. Step 6: Final answer
    x = 777.36

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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.