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Finding the Fourth Proportional to 901.72, 1,244.30 and 528.80

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Solution

The fourth proportional to 901.72, 1,244.30 and 528.80 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.72 : 1,244.30 = 528.80 : x
  2. Step 2: Convert to fraction form
    901.72/1,244.30 = 528.80/x
  3. Step 3: Cross multiply
    901.72x = 1,244.30 × 528.80
  4. Step 4: Simplify right side
    901.72x = 657,985.84
  5. Step 5: Solve for x
    x = 657,985.84/901.72
  6. Step 6: Final answer
    x = 729.70

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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.