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Finding the Fourth Proportional to 900.82, 1,243.06 and 527.75

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Solution

The fourth proportional to 900.82, 1,243.06 and 527.75 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.82 : 1,243.06 = 527.75 : x
  2. Step 2: Convert to fraction form
    900.82/1,243.06 = 527.75/x
  3. Step 3: Cross multiply
    900.82x = 1,243.06 × 527.75
  4. Step 4: Simplify right side
    900.82x = 656,025.01
  5. Step 5: Solve for x
    x = 656,025.01/900.82
  6. Step 6: Final answer
    x = 728.25

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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.