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Finding the Fourth Proportional to 901.80, 1,244.23 and 528.80

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Solution

The fourth proportional to 901.80, 1,244.23 and 528.80 is: 729.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.80 : 1,244.23 = 528.80 : x
  2. Step 2: Convert to fraction form
    901.80/1,244.23 = 528.80/x
  3. Step 3: Cross multiply
    901.80x = 1,244.23 × 528.80
  4. Step 4: Simplify right side
    901.80x = 657,941.28
  5. Step 5: Solve for x
    x = 657,941.28/901.80
  6. Step 6: Final answer
    x = 729.59

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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.