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Finding the Fourth Proportional to 900.09, 1,242.72 and 564.49

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Solution

The fourth proportional to 900.09, 1,242.72 and 564.49 is: 779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.09 : 1,242.72 = 564.49 : x
  2. Step 2: Convert to fraction form
    900.09/1,242.72 = 564.49/x
  3. Step 3: Cross multiply
    900.09x = 1,242.72 × 564.49
  4. Step 4: Simplify right side
    900.09x = 701,504.57
  5. Step 5: Solve for x
    x = 701,504.57/900.09
  6. Step 6: Final answer
    x = 779.37

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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.