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Finding the Fourth Proportional to 900.80, 1,243.14 and 527.84

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Solution

The fourth proportional to 900.80, 1,243.14 and 527.84 is: 728.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.80 : 1,243.14 = 527.84 : x
  2. Step 2: Convert to fraction form
    900.80/1,243.14 = 527.84/x
  3. Step 3: Cross multiply
    900.80x = 1,243.14 × 527.84
  4. Step 4: Simplify right side
    900.80x = 656,179.02
  5. Step 5: Solve for x
    x = 656,179.02/900.80
  6. Step 6: Final answer
    x = 728.44

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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.